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Finding the Fourth Proportional to 107.88, 160.50 and 107.46

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Solution

The fourth proportional to 107.88, 160.50 and 107.46 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.88 : 160.50 = 107.46 : x
  2. Step 2: Convert to fraction form
    107.88/160.50 = 107.46/x
  3. Step 3: Cross multiply
    107.88x = 160.50 × 107.46
  4. Step 4: Simplify right side
    107.88x = 17,247.33
  5. Step 5: Solve for x
    x = 17,247.33/107.88
  6. Step 6: Final answer
    x = 159.88

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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.