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Finding the Fourth Proportional to 52.34, 72.14 and 37.76

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Solution

The fourth proportional to 52.34, 72.14 and 37.76 is: 52.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.34 : 72.14 = 37.76 : x
  2. Step 2: Convert to fraction form
    52.34/72.14 = 37.76/x
  3. Step 3: Cross multiply
    52.34x = 72.14 × 37.76
  4. Step 4: Simplify right side
    52.34x = 2,724.01
  5. Step 5: Solve for x
    x = 2,724.01/52.34
  6. Step 6: Final answer
    x = 52.04

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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.