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Finding the Fourth Proportional to 86.63, 130.76 and 86.63

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Solution

The fourth proportional to 86.63, 130.76 and 86.63 is: 130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.63 : 130.76 = 86.63 : x
  2. Step 2: Convert to fraction form
    86.63/130.76 = 86.63/x
  3. Step 3: Cross multiply
    86.63x = 130.76 × 86.63
  4. Step 4: Simplify right side
    86.63x = 11,327.74
  5. Step 5: Solve for x
    x = 11,327.74/86.63
  6. Step 6: Final answer
    x = 130.76

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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.