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Finding the Fourth Proportional to 49.84, 74.77 and 42.66

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Solution

The fourth proportional to 49.84, 74.77 and 42.66 is: 64.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.84 : 74.77 = 42.66 : x
  2. Step 2: Convert to fraction form
    49.84/74.77 = 42.66/x
  3. Step 3: Cross multiply
    49.84x = 74.77 × 42.66
  4. Step 4: Simplify right side
    49.84x = 3,189.58
  5. Step 5: Solve for x
    x = 3,189.58/49.84
  6. Step 6: Final answer
    x = 64.00

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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.