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Finding the Fourth Proportional to 52.70, 72.66 and 37.14

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Solution

The fourth proportional to 52.70, 72.66 and 37.14 is: 51.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.70 : 72.66 = 37.14 : x
  2. Step 2: Convert to fraction form
    52.70/72.66 = 37.14/x
  3. Step 3: Cross multiply
    52.70x = 72.66 × 37.14
  4. Step 4: Simplify right side
    52.70x = 2,698.87
  5. Step 5: Solve for x
    x = 2,698.87/52.70
  6. Step 6: Final answer
    x = 51.21

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