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Finding the Fourth Proportional to 90.10, 134.88 and 72.10

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Solution

The fourth proportional to 90.10, 134.88 and 72.10 is: 107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.10 : 134.88 = 72.10 : x
  2. Step 2: Convert to fraction form
    90.10/134.88 = 72.10/x
  3. Step 3: Cross multiply
    90.10x = 134.88 × 72.10
  4. Step 4: Simplify right side
    90.10x = 9,724.85
  5. Step 5: Solve for x
    x = 9,724.85/90.10
  6. Step 6: Final answer
    x = 107.93

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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.