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Finding the Fourth Proportional to 50.40, 75.12 and 46.52

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Solution

The fourth proportional to 50.40, 75.12 and 46.52 is: 69.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.40 : 75.12 = 46.52 : x
  2. Step 2: Convert to fraction form
    50.40/75.12 = 46.52/x
  3. Step 3: Cross multiply
    50.40x = 75.12 × 46.52
  4. Step 4: Simplify right side
    50.40x = 3,494.58
  5. Step 5: Solve for x
    x = 3,494.58/50.40
  6. Step 6: Final answer
    x = 69.34

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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.