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Finding the Fourth Proportional to 85.54, 118.07 and 56.05

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Solution

The fourth proportional to 85.54, 118.07 and 56.05 is: 77.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.54 : 118.07 = 56.05 : x
  2. Step 2: Convert to fraction form
    85.54/118.07 = 56.05/x
  3. Step 3: Cross multiply
    85.54x = 118.07 × 56.05
  4. Step 4: Simplify right side
    85.54x = 6,617.90
  5. Step 5: Solve for x
    x = 6,617.90/85.54
  6. Step 6: Final answer
    x = 77.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.