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Finding the Fourth Proportional to 86.99, 130.51 and 32.15

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Solution

The fourth proportional to 86.99, 130.51 and 32.15 is: 48.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.99 : 130.51 = 32.15 : x
  2. Step 2: Convert to fraction form
    86.99/130.51 = 32.15/x
  3. Step 3: Cross multiply
    86.99x = 130.51 × 32.15
  4. Step 4: Simplify right side
    86.99x = 4,195.35
  5. Step 5: Solve for x
    x = 4,195.35/86.99
  6. Step 6: Final answer
    x = 48.23

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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.