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Finding the Fourth Proportional to 52.32, 72.24 and 39.06

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Solution

The fourth proportional to 52.32, 72.24 and 39.06 is: 53.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.32 : 72.24 = 39.06 : x
  2. Step 2: Convert to fraction form
    52.32/72.24 = 39.06/x
  3. Step 3: Cross multiply
    52.32x = 72.24 × 39.06
  4. Step 4: Simplify right side
    52.32x = 2,821.69
  5. Step 5: Solve for x
    x = 2,821.69/52.32
  6. Step 6: Final answer
    x = 53.93

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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.