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Finding the Fourth Proportional to 91.07, 125.77 and 73.77

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Solution

The fourth proportional to 91.07, 125.77 and 73.77 is: 101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.07 : 125.77 = 73.77 : x
  2. Step 2: Convert to fraction form
    91.07/125.77 = 73.77/x
  3. Step 3: Cross multiply
    91.07x = 125.77 × 73.77
  4. Step 4: Simplify right side
    91.07x = 9,278.05
  5. Step 5: Solve for x
    x = 9,278.05/91.07
  6. Step 6: Final answer
    x = 101.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.