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Finding the Fourth Proportional to 68.24, 94.13 and 53.66

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Solution

The fourth proportional to 68.24, 94.13 and 53.66 is: 74.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.24 : 94.13 = 53.66 : x
  2. Step 2: Convert to fraction form
    68.24/94.13 = 53.66/x
  3. Step 3: Cross multiply
    68.24x = 94.13 × 53.66
  4. Step 4: Simplify right side
    68.24x = 5,051.18
  5. Step 5: Solve for x
    x = 5,051.18/68.24
  6. Step 6: Final answer
    x = 74.02

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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.