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Finding the Fourth Proportional to 86.89, 130.25 and 32.77

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Solution

The fourth proportional to 86.89, 130.25 and 32.77 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.89 : 130.25 = 32.77 : x
  2. Step 2: Convert to fraction form
    86.89/130.25 = 32.77/x
  3. Step 3: Cross multiply
    86.89x = 130.25 × 32.77
  4. Step 4: Simplify right side
    86.89x = 4,268.29
  5. Step 5: Solve for x
    x = 4,268.29/86.89
  6. Step 6: Final answer
    x = 49.12

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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.