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Finding the Fourth Proportional to 50.16, 75.33 and 31.02

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Solution

The fourth proportional to 50.16, 75.33 and 31.02 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.16 : 75.33 = 31.02 : x
  2. Step 2: Convert to fraction form
    50.16/75.33 = 31.02/x
  3. Step 3: Cross multiply
    50.16x = 75.33 × 31.02
  4. Step 4: Simplify right side
    50.16x = 2,336.45
  5. Step 5: Solve for x
    x = 2,336.45/50.16
  6. Step 6: Final answer
    x = 46.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.