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Finding the Fourth Proportional to 58.01, 86.78 and 52.23

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Solution

The fourth proportional to 58.01, 86.78 and 52.23 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.01 : 86.78 = 52.23 : x
  2. Step 2: Convert to fraction form
    58.01/86.78 = 52.23/x
  3. Step 3: Cross multiply
    58.01x = 86.78 × 52.23
  4. Step 4: Simplify right side
    58.01x = 4,532.26
  5. Step 5: Solve for x
    x = 4,532.26/58.01
  6. Step 6: Final answer
    x = 78.14

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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.