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Finding the Fourth Proportional to 107.66, 160.71 and 100.16

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Solution

The fourth proportional to 107.66, 160.71 and 100.16 is: 149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 160.71 = 100.16 : x
  2. Step 2: Convert to fraction form
    107.66/160.71 = 100.16/x
  3. Step 3: Cross multiply
    107.66x = 160.71 × 100.16
  4. Step 4: Simplify right side
    107.66x = 16,096.71
  5. Step 5: Solve for x
    x = 16,096.71/107.66
  6. Step 6: Final answer
    x = 149.51

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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.