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Finding the Fourth Proportional to 97.59, 145.67 and 95.57

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Solution

The fourth proportional to 97.59, 145.67 and 95.57 is: 142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.59 : 145.67 = 95.57 : x
  2. Step 2: Convert to fraction form
    97.59/145.67 = 95.57/x
  3. Step 3: Cross multiply
    97.59x = 145.67 × 95.57
  4. Step 4: Simplify right side
    97.59x = 13,921.68
  5. Step 5: Solve for x
    x = 13,921.68/97.59
  6. Step 6: Final answer
    x = 142.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.