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Finding the Fourth Proportional to 98.01, 135.27 and 56.56

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Solution

The fourth proportional to 98.01, 135.27 and 56.56 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.01 : 135.27 = 56.56 : x
  2. Step 2: Convert to fraction form
    98.01/135.27 = 56.56/x
  3. Step 3: Cross multiply
    98.01x = 135.27 × 56.56
  4. Step 4: Simplify right side
    98.01x = 7,650.32
  5. Step 5: Solve for x
    x = 7,650.32/98.01
  6. Step 6: Final answer
    x = 78.05

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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.