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Finding the Fourth Proportional to 98.24, 135.56 and 56.78

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Solution

The fourth proportional to 98.24, 135.56 and 56.78 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 135.56 = 56.78 : x
  2. Step 2: Convert to fraction form
    98.24/135.56 = 56.78/x
  3. Step 3: Cross multiply
    98.24x = 135.56 × 56.78
  4. Step 4: Simplify right side
    98.24x = 7,697.10
  5. Step 5: Solve for x
    x = 7,697.10/98.24
  6. Step 6: Final answer
    x = 78.35

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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.