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Finding the Fourth Proportional to 74.95, 112.54 and 64.93

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Solution

The fourth proportional to 74.95, 112.54 and 64.93 is: 97.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.95 : 112.54 = 64.93 : x
  2. Step 2: Convert to fraction form
    74.95/112.54 = 64.93/x
  3. Step 3: Cross multiply
    74.95x = 112.54 × 64.93
  4. Step 4: Simplify right side
    74.95x = 7,306.79
  5. Step 5: Solve for x
    x = 7,306.79/74.95
  6. Step 6: Final answer
    x = 97.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.