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Finding the Fourth Proportional to 57.45, 85.71 and 48.45

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Solution

The fourth proportional to 57.45, 85.71 and 48.45 is: 72.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.45 : 85.71 = 48.45 : x
  2. Step 2: Convert to fraction form
    57.45/85.71 = 48.45/x
  3. Step 3: Cross multiply
    57.45x = 85.71 × 48.45
  4. Step 4: Simplify right side
    57.45x = 4,152.65
  5. Step 5: Solve for x
    x = 4,152.65/57.45
  6. Step 6: Final answer
    x = 72.28

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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.