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Finding the Fourth Proportional to 114.60, 171.07 and 106.15

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Solution

The fourth proportional to 114.60, 171.07 and 106.15 is: 158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.60 : 171.07 = 106.15 : x
  2. Step 2: Convert to fraction form
    114.60/171.07 = 106.15/x
  3. Step 3: Cross multiply
    114.60x = 171.07 × 106.15
  4. Step 4: Simplify right side
    114.60x = 18,159.96
  5. Step 5: Solve for x
    x = 18,159.96/114.60
  6. Step 6: Final answer
    x = 158.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.