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Finding the Fourth Proportional to 110.53, 152.50 and 71.19

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Solution

The fourth proportional to 110.53, 152.50 and 71.19 is: 98.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.53 : 152.50 = 71.19 : x
  2. Step 2: Convert to fraction form
    110.53/152.50 = 71.19/x
  3. Step 3: Cross multiply
    110.53x = 152.50 × 71.19
  4. Step 4: Simplify right side
    110.53x = 10,856.48
  5. Step 5: Solve for x
    x = 10,856.48/110.53
  6. Step 6: Final answer
    x = 98.22

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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.