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Finding the Fourth Proportional to 88.95, 122.82 and 78.15

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Solution

The fourth proportional to 88.95, 122.82 and 78.15 is: 107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.95 : 122.82 = 78.15 : x
  2. Step 2: Convert to fraction form
    88.95/122.82 = 78.15/x
  3. Step 3: Cross multiply
    88.95x = 122.82 × 78.15
  4. Step 4: Simplify right side
    88.95x = 9,598.38
  5. Step 5: Solve for x
    x = 9,598.38/88.95
  6. Step 6: Final answer
    x = 107.91

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Why These Related Problems?

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