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Finding the Fourth Proportional to 74.96, 103.48 and 51.64

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Solution

The fourth proportional to 74.96, 103.48 and 51.64 is: 71.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 103.48 = 51.64 : x
  2. Step 2: Convert to fraction form
    74.96/103.48 = 51.64/x
  3. Step 3: Cross multiply
    74.96x = 103.48 × 51.64
  4. Step 4: Simplify right side
    74.96x = 5,343.71
  5. Step 5: Solve for x
    x = 5,343.71/74.96
  6. Step 6: Final answer
    x = 71.29

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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.