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Finding the Fourth Proportional to 116.48, 159.58 and 112.16

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Solution

The fourth proportional to 116.48, 159.58 and 112.16 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 159.58 = 112.16 : x
  2. Step 2: Convert to fraction form
    116.48/159.58 = 112.16/x
  3. Step 3: Cross multiply
    116.48x = 159.58 × 112.16
  4. Step 4: Simplify right side
    116.48x = 17,898.49
  5. Step 5: Solve for x
    x = 17,898.49/116.48
  6. Step 6: Final answer
    x = 153.66

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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.