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Finding the Fourth Proportional to 90.47, 135.59 and 76.71

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Solution

The fourth proportional to 90.47, 135.59 and 76.71 is: 114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.47 : 135.59 = 76.71 : x
  2. Step 2: Convert to fraction form
    90.47/135.59 = 76.71/x
  3. Step 3: Cross multiply
    90.47x = 135.59 × 76.71
  4. Step 4: Simplify right side
    90.47x = 10,401.30
  5. Step 5: Solve for x
    x = 10,401.30/90.47
  6. Step 6: Final answer
    x = 114.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.