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Finding the Fourth Proportional to 58.70, 87.98 and 34.34

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Solution

The fourth proportional to 58.70, 87.98 and 34.34 is: 51.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.70 : 87.98 = 34.34 : x
  2. Step 2: Convert to fraction form
    58.70/87.98 = 34.34/x
  3. Step 3: Cross multiply
    58.70x = 87.98 × 34.34
  4. Step 4: Simplify right side
    58.70x = 3,020.62
  5. Step 5: Solve for x
    x = 3,020.62/58.70
  6. Step 6: Final answer
    x = 51.46

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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.