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Finding the Fourth Proportional to 142.06, 212.91 and 96.70

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Solution

The fourth proportional to 142.06, 212.91 and 96.70 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.06 : 212.91 = 96.70 : x
  2. Step 2: Convert to fraction form
    142.06/212.91 = 96.70/x
  3. Step 3: Cross multiply
    142.06x = 212.91 × 96.70
  4. Step 4: Simplify right side
    142.06x = 20,588.40
  5. Step 5: Solve for x
    x = 20,588.40/142.06
  6. Step 6: Final answer
    x = 144.93

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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.