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Finding the Fourth Proportional to 109.54, 151.14 and 70.72

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Solution

The fourth proportional to 109.54, 151.14 and 70.72 is: 97.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 151.14 = 70.72 : x
  2. Step 2: Convert to fraction form
    109.54/151.14 = 70.72/x
  3. Step 3: Cross multiply
    109.54x = 151.14 × 70.72
  4. Step 4: Simplify right side
    109.54x = 10,688.62
  5. Step 5: Solve for x
    x = 10,688.62/109.54
  6. Step 6: Final answer
    x = 97.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.