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Finding the Fourth Proportional to 105.75, 157.88 and 90.54

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Solution

The fourth proportional to 105.75, 157.88 and 90.54 is: 135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 157.88 = 90.54 : x
  2. Step 2: Convert to fraction form
    105.75/157.88 = 90.54/x
  3. Step 3: Cross multiply
    105.75x = 157.88 × 90.54
  4. Step 4: Simplify right side
    105.75x = 14,294.00
  5. Step 5: Solve for x
    x = 14,294.00/105.75
  6. Step 6: Final answer
    x = 135.17

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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.