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Finding the Fourth Proportional to 91.77, 137.44 and 75.57

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Solution

The fourth proportional to 91.77, 137.44 and 75.57 is: 113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.77 : 137.44 = 75.57 : x
  2. Step 2: Convert to fraction form
    91.77/137.44 = 75.57/x
  3. Step 3: Cross multiply
    91.77x = 137.44 × 75.57
  4. Step 4: Simplify right side
    91.77x = 10,386.34
  5. Step 5: Solve for x
    x = 10,386.34/91.77
  6. Step 6: Final answer
    x = 113.18

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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.