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Finding the Fourth Proportional to 37.80, 52.14 and 34.16

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Solution

The fourth proportional to 37.80, 52.14 and 34.16 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.80 : 52.14 = 34.16 : x
  2. Step 2: Convert to fraction form
    37.80/52.14 = 34.16/x
  3. Step 3: Cross multiply
    37.80x = 52.14 × 34.16
  4. Step 4: Simplify right side
    37.80x = 1,781.10
  5. Step 5: Solve for x
    x = 1,781.10/37.80
  6. Step 6: Final answer
    x = 47.12

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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.