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Finding the Fourth Proportional to 114.32, 171.46 and 70.92

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Solution

The fourth proportional to 114.32, 171.46 and 70.92 is: 106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.32 : 171.46 = 70.92 : x
  2. Step 2: Convert to fraction form
    114.32/171.46 = 70.92/x
  3. Step 3: Cross multiply
    114.32x = 171.46 × 70.92
  4. Step 4: Simplify right side
    114.32x = 12,159.94
  5. Step 5: Solve for x
    x = 12,159.94/114.32
  6. Step 6: Final answer
    x = 106.37

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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.