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Finding the Fourth Proportional to 103.52, 154.54 and 85.52

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Solution

The fourth proportional to 103.52, 154.54 and 85.52 is: 127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 154.54 = 85.52 : x
  2. Step 2: Convert to fraction form
    103.52/154.54 = 85.52/x
  3. Step 3: Cross multiply
    103.52x = 154.54 × 85.52
  4. Step 4: Simplify right side
    103.52x = 13,216.26
  5. Step 5: Solve for x
    x = 13,216.26/103.52
  6. Step 6: Final answer
    x = 127.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.