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Finding the Fourth Proportional to 103.52, 143.63 and 101

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Solution

The fourth proportional to 103.52, 143.63 and 101 is: 140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 143.63 = 101 : x
  2. Step 2: Convert to fraction form
    103.52/143.63 = 101/x
  3. Step 3: Cross multiply
    103.52x = 143.63 × 101
  4. Step 4: Simplify right side
    103.52x = 14,506.63
  5. Step 5: Solve for x
    x = 14,506.63/103.52
  6. Step 6: Final answer
    x = 140.13

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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.