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Finding the Fourth Proportional to 94.32, 130.15 and 54.99

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Solution

The fourth proportional to 94.32, 130.15 and 54.99 is: 75.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.32 : 130.15 = 54.99 : x
  2. Step 2: Convert to fraction form
    94.32/130.15 = 54.99/x
  3. Step 3: Cross multiply
    94.32x = 130.15 × 54.99
  4. Step 4: Simplify right side
    94.32x = 7,156.95
  5. Step 5: Solve for x
    x = 7,156.95/94.32
  6. Step 6: Final answer
    x = 75.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.