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Finding the Fourth Proportional to 110.79, 152.75 and 97.74

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Solution

The fourth proportional to 110.79, 152.75 and 97.74 is: 134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.79 : 152.75 = 97.74 : x
  2. Step 2: Convert to fraction form
    110.79/152.75 = 97.74/x
  3. Step 3: Cross multiply
    110.79x = 152.75 × 97.74
  4. Step 4: Simplify right side
    110.79x = 14,930.03
  5. Step 5: Solve for x
    x = 14,930.03/110.79
  6. Step 6: Final answer
    x = 134.76

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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.