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Finding the Fourth Proportional to 124.60, 171.99 and 77.95

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Solution

The fourth proportional to 124.60, 171.99 and 77.95 is: 107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.60 : 171.99 = 77.95 : x
  2. Step 2: Convert to fraction form
    124.60/171.99 = 77.95/x
  3. Step 3: Cross multiply
    124.60x = 171.99 × 77.95
  4. Step 4: Simplify right side
    124.60x = 13,406.19
  5. Step 5: Solve for x
    x = 13,406.19/124.60
  6. Step 6: Final answer
    x = 107.59

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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.