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Finding the Fourth Proportional to 116.49, 159.70 and 114.45

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Solution

The fourth proportional to 116.49, 159.70 and 114.45 is: 156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.49 : 159.70 = 114.45 : x
  2. Step 2: Convert to fraction form
    116.49/159.70 = 114.45/x
  3. Step 3: Cross multiply
    116.49x = 159.70 × 114.45
  4. Step 4: Simplify right side
    116.49x = 18,277.67
  5. Step 5: Solve for x
    x = 18,277.67/116.49
  6. Step 6: Final answer
    x = 156.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.