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Finding the Fourth Proportional to 124.50, 171.77 and 77.90

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Solution

The fourth proportional to 124.50, 171.77 and 77.90 is: 107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.50 : 171.77 = 77.90 : x
  2. Step 2: Convert to fraction form
    124.50/171.77 = 77.90/x
  3. Step 3: Cross multiply
    124.50x = 171.77 × 77.90
  4. Step 4: Simplify right side
    124.50x = 13,380.07
  5. Step 5: Solve for x
    x = 13,380.07/124.50
  6. Step 6: Final answer
    x = 107.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.