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Finding the Fourth Proportional to 50.66, 75.60 and 49.13

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Solution

The fourth proportional to 50.66, 75.60 and 49.13 is: 73.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.66 : 75.60 = 49.13 : x
  2. Step 2: Convert to fraction form
    50.66/75.60 = 49.13/x
  3. Step 3: Cross multiply
    50.66x = 75.60 × 49.13
  4. Step 4: Simplify right side
    50.66x = 3,714.23
  5. Step 5: Solve for x
    x = 3,714.23/50.66
  6. Step 6: Final answer
    x = 73.32

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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.