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Finding the Fourth Proportional to 52.47, 78.30 and 46.40

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Solution

The fourth proportional to 52.47, 78.30 and 46.40 is: 69.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.47 : 78.30 = 46.40 : x
  2. Step 2: Convert to fraction form
    52.47/78.30 = 46.40/x
  3. Step 3: Cross multiply
    52.47x = 78.30 × 46.40
  4. Step 4: Simplify right side
    52.47x = 3,632.73
  5. Step 5: Solve for x
    x = 3,632.73/52.47
  6. Step 6: Final answer
    x = 69.23

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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.