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Finding the Fourth Proportional to 107.50, 160.18 and 101.29

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Solution

The fourth proportional to 107.50, 160.18 and 101.29 is: 150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.50 : 160.18 = 101.29 : x
  2. Step 2: Convert to fraction form
    107.50/160.18 = 101.29/x
  3. Step 3: Cross multiply
    107.50x = 160.18 × 101.29
  4. Step 4: Simplify right side
    107.50x = 16,224.63
  5. Step 5: Solve for x
    x = 16,224.63/107.50
  6. Step 6: Final answer
    x = 150.93

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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.