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Finding the Fourth Proportional to 98.18, 135.47 and 56.74

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Solution

The fourth proportional to 98.18, 135.47 and 56.74 is: 78.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.18 : 135.47 = 56.74 : x
  2. Step 2: Convert to fraction form
    98.18/135.47 = 56.74/x
  3. Step 3: Cross multiply
    98.18x = 135.47 × 56.74
  4. Step 4: Simplify right side
    98.18x = 7,686.57
  5. Step 5: Solve for x
    x = 7,686.57/98.18
  6. Step 6: Final answer
    x = 78.29

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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.