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Finding the Fourth Proportional to 59.34, 81.86 and 37.52

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Solution

The fourth proportional to 59.34, 81.86 and 37.52 is: 51.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.34 : 81.86 = 37.52 : x
  2. Step 2: Convert to fraction form
    59.34/81.86 = 37.52/x
  3. Step 3: Cross multiply
    59.34x = 81.86 × 37.52
  4. Step 4: Simplify right side
    59.34x = 3,071.40
  5. Step 5: Solve for x
    x = 3,071.40/59.34
  6. Step 6: Final answer
    x = 51.76

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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.