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Finding the Fourth Proportional to 61.75, 91.87 and 61.54

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Solution

The fourth proportional to 61.75, 91.87 and 61.54 is: 91.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.75 : 91.87 = 61.54 : x
  2. Step 2: Convert to fraction form
    61.75/91.87 = 61.54/x
  3. Step 3: Cross multiply
    61.75x = 91.87 × 61.54
  4. Step 4: Simplify right side
    61.75x = 5,653.68
  5. Step 5: Solve for x
    x = 5,653.68/61.75
  6. Step 6: Final answer
    x = 91.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.