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Finding the Fourth Proportional to 91.02, 136.16 and 70.76

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Solution

The fourth proportional to 91.02, 136.16 and 70.76 is: 105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.02 : 136.16 = 70.76 : x
  2. Step 2: Convert to fraction form
    91.02/136.16 = 70.76/x
  3. Step 3: Cross multiply
    91.02x = 136.16 × 70.76
  4. Step 4: Simplify right side
    91.02x = 9,634.68
  5. Step 5: Solve for x
    x = 9,634.68/91.02
  6. Step 6: Final answer
    x = 105.85

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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.