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Finding the Fourth Proportional to 124.44, 171.76 and 85.64

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Solution

The fourth proportional to 124.44, 171.76 and 85.64 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.44 : 171.76 = 85.64 : x
  2. Step 2: Convert to fraction form
    124.44/171.76 = 85.64/x
  3. Step 3: Cross multiply
    124.44x = 171.76 × 85.64
  4. Step 4: Simplify right side
    124.44x = 14,709.53
  5. Step 5: Solve for x
    x = 14,709.53/124.44
  6. Step 6: Final answer
    x = 118.21

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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.