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Finding the Fourth Proportional to 98.34, 146.55 and 98.18

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Solution

The fourth proportional to 98.34, 146.55 and 98.18 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 146.55 = 98.18 : x
  2. Step 2: Convert to fraction form
    98.34/146.55 = 98.18/x
  3. Step 3: Cross multiply
    98.34x = 146.55 × 98.18
  4. Step 4: Simplify right side
    98.34x = 14,387.55
  5. Step 5: Solve for x
    x = 14,387.55/98.34
  6. Step 6: Final answer
    x = 146.30

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