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Finding the Fourth Proportional to 110.54, 152.56 and 61.42

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Solution

The fourth proportional to 110.54, 152.56 and 61.42 is: 84.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.54 : 152.56 = 61.42 : x
  2. Step 2: Convert to fraction form
    110.54/152.56 = 61.42/x
  3. Step 3: Cross multiply
    110.54x = 152.56 × 61.42
  4. Step 4: Simplify right side
    110.54x = 9,370.24
  5. Step 5: Solve for x
    x = 9,370.24/110.54
  6. Step 6: Final answer
    x = 84.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.