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Finding the Fourth Proportional to 90.88, 137.14 and 87.66

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Solution

The fourth proportional to 90.88, 137.14 and 87.66 is: 132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.88 : 137.14 = 87.66 : x
  2. Step 2: Convert to fraction form
    90.88/137.14 = 87.66/x
  3. Step 3: Cross multiply
    90.88x = 137.14 × 87.66
  4. Step 4: Simplify right side
    90.88x = 12,021.69
  5. Step 5: Solve for x
    x = 12,021.69/90.88
  6. Step 6: Final answer
    x = 132.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.