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Finding the Fourth Proportional to 102.16, 141.02 and 91.78

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Solution

The fourth proportional to 102.16, 141.02 and 91.78 is: 126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 141.02 = 91.78 : x
  2. Step 2: Convert to fraction form
    102.16/141.02 = 91.78/x
  3. Step 3: Cross multiply
    102.16x = 141.02 × 91.78
  4. Step 4: Simplify right side
    102.16x = 12,942.82
  5. Step 5: Solve for x
    x = 12,942.82/102.16
  6. Step 6: Final answer
    x = 126.69

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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.