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Finding the Fourth Proportional to 88.78, 133.16 and 52.66

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Solution

The fourth proportional to 88.78, 133.16 and 52.66 is: 78.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.78 : 133.16 = 52.66 : x
  2. Step 2: Convert to fraction form
    88.78/133.16 = 52.66/x
  3. Step 3: Cross multiply
    88.78x = 133.16 × 52.66
  4. Step 4: Simplify right side
    88.78x = 7,012.21
  5. Step 5: Solve for x
    x = 7,012.21/88.78
  6. Step 6: Final answer
    x = 78.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.