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Finding the Fourth Proportional to 171.95, 237.29 and 98.29

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Solution

The fourth proportional to 171.95, 237.29 and 98.29 is: 135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.95 : 237.29 = 98.29 : x
  2. Step 2: Convert to fraction form
    171.95/237.29 = 98.29/x
  3. Step 3: Cross multiply
    171.95x = 237.29 × 98.29
  4. Step 4: Simplify right side
    171.95x = 23,322.63
  5. Step 5: Solve for x
    x = 23,322.63/171.95
  6. Step 6: Final answer
    x = 135.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.