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Finding the Fourth Proportional to 98.42, 146.79 and 91.22

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Solution

The fourth proportional to 98.42, 146.79 and 91.22 is: 136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 146.79 = 91.22 : x
  2. Step 2: Convert to fraction form
    98.42/146.79 = 91.22/x
  3. Step 3: Cross multiply
    98.42x = 146.79 × 91.22
  4. Step 4: Simplify right side
    98.42x = 13,389.45
  5. Step 5: Solve for x
    x = 13,389.45/98.42
  6. Step 6: Final answer
    x = 136.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.