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Finding the Fourth Proportional to 110.79, 152.76 and 102.69

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Solution

The fourth proportional to 110.79, 152.76 and 102.69 is: 141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.79 : 152.76 = 102.69 : x
  2. Step 2: Convert to fraction form
    110.79/152.76 = 102.69/x
  3. Step 3: Cross multiply
    110.79x = 152.76 × 102.69
  4. Step 4: Simplify right side
    110.79x = 15,686.92
  5. Step 5: Solve for x
    x = 15,686.92/110.79
  6. Step 6: Final answer
    x = 141.59

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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.