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Finding the Fourth Proportional to 52.59, 78.47 and 46.52

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Solution

The fourth proportional to 52.59, 78.47 and 46.52 is: 69.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.59 : 78.47 = 46.52 : x
  2. Step 2: Convert to fraction form
    52.59/78.47 = 46.52/x
  3. Step 3: Cross multiply
    52.59x = 78.47 × 46.52
  4. Step 4: Simplify right side
    52.59x = 3,650.15
  5. Step 5: Solve for x
    x = 3,650.15/52.59
  6. Step 6: Final answer
    x = 69.41

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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.