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Finding the Fourth Proportional to 103.76, 155.48 and 88.48

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Solution

The fourth proportional to 103.76, 155.48 and 88.48 is: 132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.76 : 155.48 = 88.48 : x
  2. Step 2: Convert to fraction form
    103.76/155.48 = 88.48/x
  3. Step 3: Cross multiply
    103.76x = 155.48 × 88.48
  4. Step 4: Simplify right side
    103.76x = 13,756.87
  5. Step 5: Solve for x
    x = 13,756.87/103.76
  6. Step 6: Final answer
    x = 132.58

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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.