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Finding the Fourth Proportional to 114.60, 159.24 and 114.06

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Solution

The fourth proportional to 114.60, 159.24 and 114.06 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.60 : 159.24 = 114.06 : x
  2. Step 2: Convert to fraction form
    114.60/159.24 = 114.06/x
  3. Step 3: Cross multiply
    114.60x = 159.24 × 114.06
  4. Step 4: Simplify right side
    114.60x = 18,162.91
  5. Step 5: Solve for x
    x = 18,162.91/114.60
  6. Step 6: Final answer
    x = 158.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.