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Finding the Fourth Proportional to 48.99, 73.76 and 42.38

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Solution

The fourth proportional to 48.99, 73.76 and 42.38 is: 63.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.99 : 73.76 = 42.38 : x
  2. Step 2: Convert to fraction form
    48.99/73.76 = 42.38/x
  3. Step 3: Cross multiply
    48.99x = 73.76 × 42.38
  4. Step 4: Simplify right side
    48.99x = 3,125.37
  5. Step 5: Solve for x
    x = 3,125.37/48.99
  6. Step 6: Final answer
    x = 63.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.