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Finding the Fourth Proportional to 102.60, 141.34 and 71.46

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Solution

The fourth proportional to 102.60, 141.34 and 71.46 is: 98.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.60 : 141.34 = 71.46 : x
  2. Step 2: Convert to fraction form
    102.60/141.34 = 71.46/x
  3. Step 3: Cross multiply
    102.60x = 141.34 × 71.46
  4. Step 4: Simplify right side
    102.60x = 10,100.16
  5. Step 5: Solve for x
    x = 10,100.16/102.60
  6. Step 6: Final answer
    x = 98.44

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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.