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Finding the Fourth Proportional to 102.92, 153.65 and 89.25

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Solution

The fourth proportional to 102.92, 153.65 and 89.25 is: 133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 153.65 = 89.25 : x
  2. Step 2: Convert to fraction form
    102.92/153.65 = 89.25/x
  3. Step 3: Cross multiply
    102.92x = 153.65 × 89.25
  4. Step 4: Simplify right side
    102.92x = 13,713.27
  5. Step 5: Solve for x
    x = 13,713.27/102.92
  6. Step 6: Final answer
    x = 133.24

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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.