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Finding the Fourth Proportional to 52.31, 72.19 and 29.31

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Solution

The fourth proportional to 52.31, 72.19 and 29.31 is: 40.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 72.19 = 29.31 : x
  2. Step 2: Convert to fraction form
    52.31/72.19 = 29.31/x
  3. Step 3: Cross multiply
    52.31x = 72.19 × 29.31
  4. Step 4: Simplify right side
    52.31x = 2,116.14
  5. Step 5: Solve for x
    x = 2,116.14/52.31
  6. Step 6: Final answer
    x = 40.45

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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.