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Finding the Fourth Proportional to 74.94, 102.58 and 72.61

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Solution

The fourth proportional to 74.94, 102.58 and 72.61 is: 99.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.94 : 102.58 = 72.61 : x
  2. Step 2: Convert to fraction form
    74.94/102.58 = 72.61/x
  3. Step 3: Cross multiply
    74.94x = 102.58 × 72.61
  4. Step 4: Simplify right side
    74.94x = 7,448.33
  5. Step 5: Solve for x
    x = 7,448.33/74.94
  6. Step 6: Final answer
    x = 99.39

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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.