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Finding the Fourth Proportional to 68.61, 102.66 and 51.45

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Solution

The fourth proportional to 68.61, 102.66 and 51.45 is: 76.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.61 : 102.66 = 51.45 : x
  2. Step 2: Convert to fraction form
    68.61/102.66 = 51.45/x
  3. Step 3: Cross multiply
    68.61x = 102.66 × 51.45
  4. Step 4: Simplify right side
    68.61x = 5,281.86
  5. Step 5: Solve for x
    x = 5,281.86/68.61
  6. Step 6: Final answer
    x = 76.98

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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.