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Finding the Fourth Proportional to 148.57, 204.93 and 101.93

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Solution

The fourth proportional to 148.57, 204.93 and 101.93 is: 140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.57 : 204.93 = 101.93 : x
  2. Step 2: Convert to fraction form
    148.57/204.93 = 101.93/x
  3. Step 3: Cross multiply
    148.57x = 204.93 × 101.93
  4. Step 4: Simplify right side
    148.57x = 20,887.49
  5. Step 5: Solve for x
    x = 20,887.49/148.57
  6. Step 6: Final answer
    x = 140.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.