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Finding the Fourth Proportional to 102.16, 141.58 and 98.96

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Solution

The fourth proportional to 102.16, 141.58 and 98.96 is: 137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 141.58 = 98.96 : x
  2. Step 2: Convert to fraction form
    102.16/141.58 = 98.96/x
  3. Step 3: Cross multiply
    102.16x = 141.58 × 98.96
  4. Step 4: Simplify right side
    102.16x = 14,010.76
  5. Step 5: Solve for x
    x = 14,010.76/102.16
  6. Step 6: Final answer
    x = 137.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.