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Finding the Fourth Proportional to 98.16, 146.48 and 90.92

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Solution

The fourth proportional to 98.16, 146.48 and 90.92 is: 135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 146.48 = 90.92 : x
  2. Step 2: Convert to fraction form
    98.16/146.48 = 90.92/x
  3. Step 3: Cross multiply
    98.16x = 146.48 × 90.92
  4. Step 4: Simplify right side
    98.16x = 13,317.96
  5. Step 5: Solve for x
    x = 13,317.96/98.16
  6. Step 6: Final answer
    x = 135.68

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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.