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Finding the Fourth Proportional to 114.49, 171.78 and 42.40

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Solution

The fourth proportional to 114.49, 171.78 and 42.40 is: 63.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.49 : 171.78 = 42.40 : x
  2. Step 2: Convert to fraction form
    114.49/171.78 = 42.40/x
  3. Step 3: Cross multiply
    114.49x = 171.78 × 42.40
  4. Step 4: Simplify right side
    114.49x = 7,283.47
  5. Step 5: Solve for x
    x = 7,283.47/114.49
  6. Step 6: Final answer
    x = 63.62

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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.