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Finding the Fourth Proportional to 74.55, 102.76 and 54.84

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Solution

The fourth proportional to 74.55, 102.76 and 54.84 is: 75.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.55 : 102.76 = 54.84 : x
  2. Step 2: Convert to fraction form
    74.55/102.76 = 54.84/x
  3. Step 3: Cross multiply
    74.55x = 102.76 × 54.84
  4. Step 4: Simplify right side
    74.55x = 5,635.36
  5. Step 5: Solve for x
    x = 5,635.36/74.55
  6. Step 6: Final answer
    x = 75.59

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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.