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Finding the Fourth Proportional to 72.54, 99.27 and 70.74

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Solution

The fourth proportional to 72.54, 99.27 and 70.74 is: 96.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.54 : 99.27 = 70.74 : x
  2. Step 2: Convert to fraction form
    72.54/99.27 = 70.74/x
  3. Step 3: Cross multiply
    72.54x = 99.27 × 70.74
  4. Step 4: Simplify right side
    72.54x = 7,022.36
  5. Step 5: Solve for x
    x = 7,022.36/72.54
  6. Step 6: Final answer
    x = 96.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.