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Finding the Fourth Proportional to 91.14, 137.54 and 91.14

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Solution

The fourth proportional to 91.14, 137.54 and 91.14 is: 137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.14 : 137.54 = 91.14 : x
  2. Step 2: Convert to fraction form
    91.14/137.54 = 91.14/x
  3. Step 3: Cross multiply
    91.14x = 137.54 × 91.14
  4. Step 4: Simplify right side
    91.14x = 12,535.40
  5. Step 5: Solve for x
    x = 12,535.40/91.14
  6. Step 6: Final answer
    x = 137.54

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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.