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Finding the Fourth Proportional to 132.16, 182.39 and 79.70

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Solution

The fourth proportional to 132.16, 182.39 and 79.70 is: 109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 182.39 = 79.70 : x
  2. Step 2: Convert to fraction form
    132.16/182.39 = 79.70/x
  3. Step 3: Cross multiply
    132.16x = 182.39 × 79.70
  4. Step 4: Simplify right side
    132.16x = 14,536.48
  5. Step 5: Solve for x
    x = 14,536.48/132.16
  6. Step 6: Final answer
    x = 109.99

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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.