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Finding the Fourth Proportional to 58.88, 88.26 and 22.83

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Solution

The fourth proportional to 58.88, 88.26 and 22.83 is: 34.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.88 : 88.26 = 22.83 : x
  2. Step 2: Convert to fraction form
    58.88/88.26 = 22.83/x
  3. Step 3: Cross multiply
    58.88x = 88.26 × 22.83
  4. Step 4: Simplify right side
    58.88x = 2,015.25
  5. Step 5: Solve for x
    x = 2,015.25/58.88
  6. Step 6: Final answer
    x = 34.23

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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.