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Finding the Fourth Proportional to 109.03, 163.31 and 101.53

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Solution

The fourth proportional to 109.03, 163.31 and 101.53 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.03 : 163.31 = 101.53 : x
  2. Step 2: Convert to fraction form
    109.03/163.31 = 101.53/x
  3. Step 3: Cross multiply
    109.03x = 163.31 × 101.53
  4. Step 4: Simplify right side
    109.03x = 16,580.86
  5. Step 5: Solve for x
    x = 16,580.86/109.03
  6. Step 6: Final answer
    x = 152.08

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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.