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Finding the Fourth Proportional to 52.62, 72.61 and 31.90

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Solution

The fourth proportional to 52.62, 72.61 and 31.90 is: 44.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.62 : 72.61 = 31.90 : x
  2. Step 2: Convert to fraction form
    52.62/72.61 = 31.90/x
  3. Step 3: Cross multiply
    52.62x = 72.61 × 31.90
  4. Step 4: Simplify right side
    52.62x = 2,316.33
  5. Step 5: Solve for x
    x = 2,316.33/52.62
  6. Step 6: Final answer
    x = 44.02

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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.