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Finding the Fourth Proportional to 106.60, 160.05 and 55.29

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Solution

The fourth proportional to 106.60, 160.05 and 55.29 is: 83.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.60 : 160.05 = 55.29 : x
  2. Step 2: Convert to fraction form
    106.60/160.05 = 55.29/x
  3. Step 3: Cross multiply
    106.60x = 160.05 × 55.29
  4. Step 4: Simplify right side
    106.60x = 8,849.16
  5. Step 5: Solve for x
    x = 8,849.16/106.60
  6. Step 6: Final answer
    x = 83.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.