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Finding the Fourth Proportional to 58.78, 88.15 and 52.37

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Solution

The fourth proportional to 58.78, 88.15 and 52.37 is: 78.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 88.15 = 52.37 : x
  2. Step 2: Convert to fraction form
    58.78/88.15 = 52.37/x
  3. Step 3: Cross multiply
    58.78x = 88.15 × 52.37
  4. Step 4: Simplify right side
    58.78x = 4,616.42
  5. Step 5: Solve for x
    x = 4,616.42/58.78
  6. Step 6: Final answer
    x = 78.54

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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.