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Finding the Fourth Proportional to 106.13, 160.01 and 100.50

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Solution

The fourth proportional to 106.13, 160.01 and 100.50 is: 151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 160.01 = 100.50 : x
  2. Step 2: Convert to fraction form
    106.13/160.01 = 100.50/x
  3. Step 3: Cross multiply
    106.13x = 160.01 × 100.50
  4. Step 4: Simplify right side
    106.13x = 16,080.50
  5. Step 5: Solve for x
    x = 16,080.50/106.13
  6. Step 6: Final answer
    x = 151.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.