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Finding the Fourth Proportional to 91.18, 137.45 and 75.25

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Solution

The fourth proportional to 91.18, 137.45 and 75.25 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.18 : 137.45 = 75.25 : x
  2. Step 2: Convert to fraction form
    91.18/137.45 = 75.25/x
  3. Step 3: Cross multiply
    91.18x = 137.45 × 75.25
  4. Step 4: Simplify right side
    91.18x = 10,343.11
  5. Step 5: Solve for x
    x = 10,343.11/91.18
  6. Step 6: Final answer
    x = 113.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.