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Finding the Fourth Proportional to 110.59, 152.63 and 71.71

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Solution

The fourth proportional to 110.59, 152.63 and 71.71 is: 98.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.59 : 152.63 = 71.71 : x
  2. Step 2: Convert to fraction form
    110.59/152.63 = 71.71/x
  3. Step 3: Cross multiply
    110.59x = 152.63 × 71.71
  4. Step 4: Simplify right side
    110.59x = 10,944.51
  5. Step 5: Solve for x
    x = 10,944.51/110.59
  6. Step 6: Final answer
    x = 98.97

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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.