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Finding the Fourth Proportional to 116.24, 159.28 and 116.06

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Solution

The fourth proportional to 116.24, 159.28 and 116.06 is: 159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.24 : 159.28 = 116.06 : x
  2. Step 2: Convert to fraction form
    116.24/159.28 = 116.06/x
  3. Step 3: Cross multiply
    116.24x = 159.28 × 116.06
  4. Step 4: Simplify right side
    116.24x = 18,486.04
  5. Step 5: Solve for x
    x = 18,486.04/116.24
  6. Step 6: Final answer
    x = 159.03

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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.