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Finding the Fourth Proportional to 103.32, 143.52 and 101.67

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Solution

The fourth proportional to 103.32, 143.52 and 101.67 is: 141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 143.52 = 101.67 : x
  2. Step 2: Convert to fraction form
    103.32/143.52 = 101.67/x
  3. Step 3: Cross multiply
    103.32x = 143.52 × 101.67
  4. Step 4: Simplify right side
    103.32x = 14,590.76
  5. Step 5: Solve for x
    x = 14,590.76/103.32
  6. Step 6: Final answer
    x = 141.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.