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Finding the Fourth Proportional to 148.42, 204.74 and 109.07

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Solution

The fourth proportional to 148.42, 204.74 and 109.07 is: 150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.42 : 204.74 = 109.07 : x
  2. Step 2: Convert to fraction form
    148.42/204.74 = 109.07/x
  3. Step 3: Cross multiply
    148.42x = 204.74 × 109.07
  4. Step 4: Simplify right side
    148.42x = 22,329.97
  5. Step 5: Solve for x
    x = 22,329.97/148.42
  6. Step 6: Final answer
    x = 150.46

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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.