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Finding the Fourth Proportional to 107.65, 160.34 and 107.16

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Solution

The fourth proportional to 107.65, 160.34 and 107.16 is: 159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.65 : 160.34 = 107.16 : x
  2. Step 2: Convert to fraction form
    107.65/160.34 = 107.16/x
  3. Step 3: Cross multiply
    107.65x = 160.34 × 107.16
  4. Step 4: Simplify right side
    107.65x = 17,182.03
  5. Step 5: Solve for x
    x = 17,182.03/107.65
  6. Step 6: Final answer
    x = 159.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.