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Finding the Fourth Proportional to 95.34, 130.74 and 89.67

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Solution

The fourth proportional to 95.34, 130.74 and 89.67 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 130.74 = 89.67 : x
  2. Step 2: Convert to fraction form
    95.34/130.74 = 89.67/x
  3. Step 3: Cross multiply
    95.34x = 130.74 × 89.67
  4. Step 4: Simplify right side
    95.34x = 11,723.46
  5. Step 5: Solve for x
    x = 11,723.46/95.34
  6. Step 6: Final answer
    x = 122.96

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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.