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Finding the Fourth Proportional to 58.86, 88.20 and 38.25

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Solution

The fourth proportional to 58.86, 88.20 and 38.25 is: 57.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.86 : 88.20 = 38.25 : x
  2. Step 2: Convert to fraction form
    58.86/88.20 = 38.25/x
  3. Step 3: Cross multiply
    58.86x = 88.20 × 38.25
  4. Step 4: Simplify right side
    58.86x = 3,373.65
  5. Step 5: Solve for x
    x = 3,373.65/58.86
  6. Step 6: Final answer
    x = 57.32

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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.