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Finding the Fourth Proportional to 58.75, 88.17 and 20.75

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Solution

The fourth proportional to 58.75, 88.17 and 20.75 is: 31.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.75 : 88.17 = 20.75 : x
  2. Step 2: Convert to fraction form
    58.75/88.17 = 20.75/x
  3. Step 3: Cross multiply
    58.75x = 88.17 × 20.75
  4. Step 4: Simplify right side
    58.75x = 1,829.42
  5. Step 5: Solve for x
    x = 1,829.42/58.75
  6. Step 6: Final answer
    x = 31.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.