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Finding the Fourth Proportional to 114.71, 158.22 and 71.10

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Solution

The fourth proportional to 114.71, 158.22 and 71.10 is: 98.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.71 : 158.22 = 71.10 : x
  2. Step 2: Convert to fraction form
    114.71/158.22 = 71.10/x
  3. Step 3: Cross multiply
    114.71x = 158.22 × 71.10
  4. Step 4: Simplify right side
    114.71x = 11,249.44
  5. Step 5: Solve for x
    x = 11,249.44/114.71
  6. Step 6: Final answer
    x = 98.07

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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.