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Finding the Fourth Proportional to 114.16, 171.28 and 49.20

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Solution

The fourth proportional to 114.16, 171.28 and 49.20 is: 73.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.16 : 171.28 = 49.20 : x
  2. Step 2: Convert to fraction form
    114.16/171.28 = 49.20/x
  3. Step 3: Cross multiply
    114.16x = 171.28 × 49.20
  4. Step 4: Simplify right side
    114.16x = 8,426.98
  5. Step 5: Solve for x
    x = 8,426.98/114.16
  6. Step 6: Final answer
    x = 73.82

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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.