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Finding the Fourth Proportional to 58.23, 86.76 and 55.13

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Solution

The fourth proportional to 58.23, 86.76 and 55.13 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.23 : 86.76 = 55.13 : x
  2. Step 2: Convert to fraction form
    58.23/86.76 = 55.13/x
  3. Step 3: Cross multiply
    58.23x = 86.76 × 55.13
  4. Step 4: Simplify right side
    58.23x = 4,782.65
  5. Step 5: Solve for x
    x = 4,782.65/58.23
  6. Step 6: Final answer
    x = 82.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.