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Finding the Fourth Proportional to 98.36, 135.74 and 61.53

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Solution

The fourth proportional to 98.36, 135.74 and 61.53 is: 84.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.36 : 135.74 = 61.53 : x
  2. Step 2: Convert to fraction form
    98.36/135.74 = 61.53/x
  3. Step 3: Cross multiply
    98.36x = 135.74 × 61.53
  4. Step 4: Simplify right side
    98.36x = 8,351.27
  5. Step 5: Solve for x
    x = 8,351.27/98.36
  6. Step 6: Final answer
    x = 84.91

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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.