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Finding the Fourth Proportional to 48.09, 71.69 and 46.98

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Solution

The fourth proportional to 48.09, 71.69 and 46.98 is: 70.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.09 : 71.69 = 46.98 : x
  2. Step 2: Convert to fraction form
    48.09/71.69 = 46.98/x
  3. Step 3: Cross multiply
    48.09x = 71.69 × 46.98
  4. Step 4: Simplify right side
    48.09x = 3,367.76
  5. Step 5: Solve for x
    x = 3,367.76/48.09
  6. Step 6: Final answer
    x = 70.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.