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Finding the Fourth Proportional to 91.40, 136.98 and 77.65

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Solution

The fourth proportional to 91.40, 136.98 and 77.65 is: 116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.40 : 136.98 = 77.65 : x
  2. Step 2: Convert to fraction form
    91.40/136.98 = 77.65/x
  3. Step 3: Cross multiply
    91.40x = 136.98 × 77.65
  4. Step 4: Simplify right side
    91.40x = 10,636.50
  5. Step 5: Solve for x
    x = 10,636.50/91.40
  6. Step 6: Final answer
    x = 116.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.