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Finding the Fourth Proportional to 114.78, 171.98 and 96.70

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Solution

The fourth proportional to 114.78, 171.98 and 96.70 is: 144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.78 : 171.98 = 96.70 : x
  2. Step 2: Convert to fraction form
    114.78/171.98 = 96.70/x
  3. Step 3: Cross multiply
    114.78x = 171.98 × 96.70
  4. Step 4: Simplify right side
    114.78x = 16,630.47
  5. Step 5: Solve for x
    x = 16,630.47/114.78
  6. Step 6: Final answer
    x = 144.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.