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Finding the Fourth Proportional to 74.53, 102.74 and 53.74

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Solution

The fourth proportional to 74.53, 102.74 and 53.74 is: 74.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.53 : 102.74 = 53.74 : x
  2. Step 2: Convert to fraction form
    74.53/102.74 = 53.74/x
  3. Step 3: Cross multiply
    74.53x = 102.74 × 53.74
  4. Step 4: Simplify right side
    74.53x = 5,521.25
  5. Step 5: Solve for x
    x = 5,521.25/74.53
  6. Step 6: Final answer
    x = 74.08

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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.