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Finding the Fourth Proportional to 91.14, 135.66 and 89.82

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Solution

The fourth proportional to 91.14, 135.66 and 89.82 is: 133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.14 : 135.66 = 89.82 : x
  2. Step 2: Convert to fraction form
    91.14/135.66 = 89.82/x
  3. Step 3: Cross multiply
    91.14x = 135.66 × 89.82
  4. Step 4: Simplify right side
    91.14x = 12,184.98
  5. Step 5: Solve for x
    x = 12,184.98/91.14
  6. Step 6: Final answer
    x = 133.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.