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Finding the Fourth Proportional to 148.29, 204.74 and 101.65

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Solution

The fourth proportional to 148.29, 204.74 and 101.65 is: 140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.29 : 204.74 = 101.65 : x
  2. Step 2: Convert to fraction form
    148.29/204.74 = 101.65/x
  3. Step 3: Cross multiply
    148.29x = 204.74 × 101.65
  4. Step 4: Simplify right side
    148.29x = 20,810.80
  5. Step 5: Solve for x
    x = 20,810.80/148.29
  6. Step 6: Final answer
    x = 140.34

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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.