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Finding the Fourth Proportional to 114.89, 158.66 and 106.70

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Solution

The fourth proportional to 114.89, 158.66 and 106.70 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.89 : 158.66 = 106.70 : x
  2. Step 2: Convert to fraction form
    114.89/158.66 = 106.70/x
  3. Step 3: Cross multiply
    114.89x = 158.66 × 106.70
  4. Step 4: Simplify right side
    114.89x = 16,927.70
  5. Step 5: Solve for x
    x = 16,927.70/114.89
  6. Step 6: Final answer
    x = 147.34

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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.