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Finding the Fourth Proportional to 90.54, 136.85 and 90.54

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Solution

The fourth proportional to 90.54, 136.85 and 90.54 is: 136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.54 : 136.85 = 90.54 : x
  2. Step 2: Convert to fraction form
    90.54/136.85 = 90.54/x
  3. Step 3: Cross multiply
    90.54x = 136.85 × 90.54
  4. Step 4: Simplify right side
    90.54x = 12,389.95
  5. Step 5: Solve for x
    x = 12,389.95/90.54
  6. Step 6: Final answer
    x = 136.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.