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Finding the Fourth Proportional to 97.59, 146.95 and 70.72

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Solution

The fourth proportional to 97.59, 146.95 and 70.72 is: 106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.59 : 146.95 = 70.72 : x
  2. Step 2: Convert to fraction form
    97.59/146.95 = 70.72/x
  3. Step 3: Cross multiply
    97.59x = 146.95 × 70.72
  4. Step 4: Simplify right side
    97.59x = 10,392.30
  5. Step 5: Solve for x
    x = 10,392.30/97.59
  6. Step 6: Final answer
    x = 106.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.