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Finding the Fourth Proportional to 114.71, 158.29 and 71.05

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Solution

The fourth proportional to 114.71, 158.29 and 71.05 is: 98.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.71 : 158.29 = 71.05 : x
  2. Step 2: Convert to fraction form
    114.71/158.29 = 71.05/x
  3. Step 3: Cross multiply
    114.71x = 158.29 × 71.05
  4. Step 4: Simplify right side
    114.71x = 11,246.50
  5. Step 5: Solve for x
    x = 11,246.50/114.71
  6. Step 6: Final answer
    x = 98.04

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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.