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Finding the Fourth Proportional to 102.43, 141.07 and 89.31

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Solution

The fourth proportional to 102.43, 141.07 and 89.31 is: 123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.43 : 141.07 = 89.31 : x
  2. Step 2: Convert to fraction form
    102.43/141.07 = 89.31/x
  3. Step 3: Cross multiply
    102.43x = 141.07 × 89.31
  4. Step 4: Simplify right side
    102.43x = 12,598.96
  5. Step 5: Solve for x
    x = 12,598.96/102.43
  6. Step 6: Final answer
    x = 123.00

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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.