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Finding the Fourth Proportional to 90.29, 134.87 and 65.70

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Solution

The fourth proportional to 90.29, 134.87 and 65.70 is: 98.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.29 : 134.87 = 65.70 : x
  2. Step 2: Convert to fraction form
    90.29/134.87 = 65.70/x
  3. Step 3: Cross multiply
    90.29x = 134.87 × 65.70
  4. Step 4: Simplify right side
    90.29x = 8,860.96
  5. Step 5: Solve for x
    x = 8,860.96/90.29
  6. Step 6: Final answer
    x = 98.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.