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Finding the Fourth Proportional to 129.32, 178.47 and 89.98

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Solution

The fourth proportional to 129.32, 178.47 and 89.98 is: 124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.32 : 178.47 = 89.98 : x
  2. Step 2: Convert to fraction form
    129.32/178.47 = 89.98/x
  3. Step 3: Cross multiply
    129.32x = 178.47 × 89.98
  4. Step 4: Simplify right side
    129.32x = 16,058.73
  5. Step 5: Solve for x
    x = 16,058.73/129.32
  6. Step 6: Final answer
    x = 124.18

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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.