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Finding the Fourth Proportional to 109.14, 162.84 and 95.64

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Solution

The fourth proportional to 109.14, 162.84 and 95.64 is: 142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.14 : 162.84 = 95.64 : x
  2. Step 2: Convert to fraction form
    109.14/162.84 = 95.64/x
  3. Step 3: Cross multiply
    109.14x = 162.84 × 95.64
  4. Step 4: Simplify right side
    109.14x = 15,574.02
  5. Step 5: Solve for x
    x = 15,574.02/109.14
  6. Step 6: Final answer
    x = 142.70

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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.