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Finding the Fourth Proportional to 58.86, 87.75 and 57.24

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Solution

The fourth proportional to 58.86, 87.75 and 57.24 is: 85.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.86 : 87.75 = 57.24 : x
  2. Step 2: Convert to fraction form
    58.86/87.75 = 57.24/x
  3. Step 3: Cross multiply
    58.86x = 87.75 × 57.24
  4. Step 4: Simplify right side
    58.86x = 5,022.81
  5. Step 5: Solve for x
    x = 5,022.81/58.86
  6. Step 6: Final answer
    x = 85.33

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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.