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Finding the Fourth Proportional to 52.61, 72.61 and 29.30

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Solution

The fourth proportional to 52.61, 72.61 and 29.30 is: 40.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.61 : 72.61 = 29.30 : x
  2. Step 2: Convert to fraction form
    52.61/72.61 = 29.30/x
  3. Step 3: Cross multiply
    52.61x = 72.61 × 29.30
  4. Step 4: Simplify right side
    52.61x = 2,127.35
  5. Step 5: Solve for x
    x = 2,127.35/52.61
  6. Step 6: Final answer
    x = 40.43

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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.