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Finding the Fourth Proportional to 98.16, 135.53 and 61.31

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Solution

The fourth proportional to 98.16, 135.53 and 61.31 is: 84.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 135.53 = 61.31 : x
  2. Step 2: Convert to fraction form
    98.16/135.53 = 61.31/x
  3. Step 3: Cross multiply
    98.16x = 135.53 × 61.31
  4. Step 4: Simplify right side
    98.16x = 8,308.36
  5. Step 5: Solve for x
    x = 8,308.36/98.16
  6. Step 6: Final answer
    x = 84.64

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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.