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Finding the Fourth Proportional to 116.42, 160.33 and 106.16

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Solution

The fourth proportional to 116.42, 160.33 and 106.16 is: 146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.42 : 160.33 = 106.16 : x
  2. Step 2: Convert to fraction form
    116.42/160.33 = 106.16/x
  3. Step 3: Cross multiply
    116.42x = 160.33 × 106.16
  4. Step 4: Simplify right side
    116.42x = 17,020.63
  5. Step 5: Solve for x
    x = 17,020.63/116.42
  6. Step 6: Final answer
    x = 146.20

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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.