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Finding the Fourth Proportional to 59.02, 81.50 and 52.47

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Solution

The fourth proportional to 59.02, 81.50 and 52.47 is: 72.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.02 : 81.50 = 52.47 : x
  2. Step 2: Convert to fraction form
    59.02/81.50 = 52.47/x
  3. Step 3: Cross multiply
    59.02x = 81.50 × 52.47
  4. Step 4: Simplify right side
    59.02x = 4,276.31
  5. Step 5: Solve for x
    x = 4,276.31/59.02
  6. Step 6: Final answer
    x = 72.46

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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.