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Finding the Fourth Proportional to 91.77, 126.81 and 73.50

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Solution

The fourth proportional to 91.77, 126.81 and 73.50 is: 101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.77 : 126.81 = 73.50 : x
  2. Step 2: Convert to fraction form
    91.77/126.81 = 73.50/x
  3. Step 3: Cross multiply
    91.77x = 126.81 × 73.50
  4. Step 4: Simplify right side
    91.77x = 9,320.54
  5. Step 5: Solve for x
    x = 9,320.54/91.77
  6. Step 6: Final answer
    x = 101.56

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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.