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Finding the Fourth Proportional to 28.55, 42.64 and 24.05

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Solution

The fourth proportional to 28.55, 42.64 and 24.05 is: 35.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.55 : 42.64 = 24.05 : x
  2. Step 2: Convert to fraction form
    28.55/42.64 = 24.05/x
  3. Step 3: Cross multiply
    28.55x = 42.64 × 24.05
  4. Step 4: Simplify right side
    28.55x = 1,025.49
  5. Step 5: Solve for x
    x = 1,025.49/28.55
  6. Step 6: Final answer
    x = 35.92

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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.