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Finding the Fourth Proportional to 91.10, 137.48 and 91.10

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Solution

The fourth proportional to 91.10, 137.48 and 91.10 is: 137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.10 : 137.48 = 91.10 : x
  2. Step 2: Convert to fraction form
    91.10/137.48 = 91.10/x
  3. Step 3: Cross multiply
    91.10x = 137.48 × 91.10
  4. Step 4: Simplify right side
    91.10x = 12,524.43
  5. Step 5: Solve for x
    x = 12,524.43/91.10
  6. Step 6: Final answer
    x = 137.48

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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.