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Finding the Fourth Proportional to 58.54, 87.78 and 22.46

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Solution

The fourth proportional to 58.54, 87.78 and 22.46 is: 33.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.54 : 87.78 = 22.46 : x
  2. Step 2: Convert to fraction form
    58.54/87.78 = 22.46/x
  3. Step 3: Cross multiply
    58.54x = 87.78 × 22.46
  4. Step 4: Simplify right side
    58.54x = 1,971.54
  5. Step 5: Solve for x
    x = 1,971.54/58.54
  6. Step 6: Final answer
    x = 33.68

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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.