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Finding the Fourth Proportional to 52.32, 72.19 and 31.59

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Solution

The fourth proportional to 52.32, 72.19 and 31.59 is: 43.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.32 : 72.19 = 31.59 : x
  2. Step 2: Convert to fraction form
    52.32/72.19 = 31.59/x
  3. Step 3: Cross multiply
    52.32x = 72.19 × 31.59
  4. Step 4: Simplify right side
    52.32x = 2,280.48
  5. Step 5: Solve for x
    x = 2,280.48/52.32
  6. Step 6: Final answer
    x = 43.59

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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.