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Finding the Fourth Proportional to 169.16, 253.48 and 92.08

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Solution

The fourth proportional to 169.16, 253.48 and 92.08 is: 137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 253.48 = 92.08 : x
  2. Step 2: Convert to fraction form
    169.16/253.48 = 92.08/x
  3. Step 3: Cross multiply
    169.16x = 253.48 × 92.08
  4. Step 4: Simplify right side
    169.16x = 23,340.44
  5. Step 5: Solve for x
    x = 23,340.44/169.16
  6. Step 6: Final answer
    x = 137.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.