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Finding the Fourth Proportional to 94.56, 130.06 and 77.78

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Solution

The fourth proportional to 94.56, 130.06 and 77.78 is: 106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.56 : 130.06 = 77.78 : x
  2. Step 2: Convert to fraction form
    94.56/130.06 = 77.78/x
  3. Step 3: Cross multiply
    94.56x = 130.06 × 77.78
  4. Step 4: Simplify right side
    94.56x = 10,116.07
  5. Step 5: Solve for x
    x = 10,116.07/94.56
  6. Step 6: Final answer
    x = 106.98

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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.