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Finding the Fourth Proportional to 88.78, 122.51 and 51.94

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Solution

The fourth proportional to 88.78, 122.51 and 51.94 is: 71.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.78 : 122.51 = 51.94 : x
  2. Step 2: Convert to fraction form
    88.78/122.51 = 51.94/x
  3. Step 3: Cross multiply
    88.78x = 122.51 × 51.94
  4. Step 4: Simplify right side
    88.78x = 6,363.17
  5. Step 5: Solve for x
    x = 6,363.17/88.78
  6. Step 6: Final answer
    x = 71.67

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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.