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Finding the Fourth Proportional to 114.78, 158.46 and 71.19

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Solution

The fourth proportional to 114.78, 158.46 and 71.19 is: 98.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.78 : 158.46 = 71.19 : x
  2. Step 2: Convert to fraction form
    114.78/158.46 = 71.19/x
  3. Step 3: Cross multiply
    114.78x = 158.46 × 71.19
  4. Step 4: Simplify right side
    114.78x = 11,280.77
  5. Step 5: Solve for x
    x = 11,280.77/114.78
  6. Step 6: Final answer
    x = 98.28

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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.