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Finding the Fourth Proportional to 73.76, 101.82 and 59.20

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Solution

The fourth proportional to 73.76, 101.82 and 59.20 is: 81.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.76 : 101.82 = 59.20 : x
  2. Step 2: Convert to fraction form
    73.76/101.82 = 59.20/x
  3. Step 3: Cross multiply
    73.76x = 101.82 × 59.20
  4. Step 4: Simplify right side
    73.76x = 6,027.74
  5. Step 5: Solve for x
    x = 6,027.74/73.76
  6. Step 6: Final answer
    x = 81.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.