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Finding the Fourth Proportional to 124.40, 171.63 and 77.78

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Solution

The fourth proportional to 124.40, 171.63 and 77.78 is: 107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.40 : 171.63 = 77.78 : x
  2. Step 2: Convert to fraction form
    124.40/171.63 = 77.78/x
  3. Step 3: Cross multiply
    124.40x = 171.63 × 77.78
  4. Step 4: Simplify right side
    124.40x = 13,349.81
  5. Step 5: Solve for x
    x = 13,349.81/124.40
  6. Step 6: Final answer
    x = 107.31

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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.