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Finding the Fourth Proportional to 58.23, 87.34 and 15.48

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Solution

The fourth proportional to 58.23, 87.34 and 15.48 is: 23.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.23 : 87.34 = 15.48 : x
  2. Step 2: Convert to fraction form
    58.23/87.34 = 15.48/x
  3. Step 3: Cross multiply
    58.23x = 87.34 × 15.48
  4. Step 4: Simplify right side
    58.23x = 1,352.02
  5. Step 5: Solve for x
    x = 1,352.02/58.23
  6. Step 6: Final answer
    x = 23.22

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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.