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Finding the Fourth Proportional to 52.57, 78.35 and 45.82

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Solution

The fourth proportional to 52.57, 78.35 and 45.82 is: 68.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 78.35 = 45.82 : x
  2. Step 2: Convert to fraction form
    52.57/78.35 = 45.82/x
  3. Step 3: Cross multiply
    52.57x = 78.35 × 45.82
  4. Step 4: Simplify right side
    52.57x = 3,590.00
  5. Step 5: Solve for x
    x = 3,590.00/52.57
  6. Step 6: Final answer
    x = 68.29

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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.