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Finding the Fourth Proportional to 28.58, 39.47 and 22.77

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Solution

The fourth proportional to 28.58, 39.47 and 22.77 is: 31.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.58 : 39.47 = 22.77 : x
  2. Step 2: Convert to fraction form
    28.58/39.47 = 22.77/x
  3. Step 3: Cross multiply
    28.58x = 39.47 × 22.77
  4. Step 4: Simplify right side
    28.58x = 898.62
  5. Step 5: Solve for x
    x = 898.62/28.58
  6. Step 6: Final answer
    x = 31.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.