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Finding the Fourth Proportional to 46.84, 70.22 and 16.40

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Solution

The fourth proportional to 46.84, 70.22 and 16.40 is: 24.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.84 : 70.22 = 16.40 : x
  2. Step 2: Convert to fraction form
    46.84/70.22 = 16.40/x
  3. Step 3: Cross multiply
    46.84x = 70.22 × 16.40
  4. Step 4: Simplify right side
    46.84x = 1,151.30
  5. Step 5: Solve for x
    x = 1,151.30/46.84
  6. Step 6: Final answer
    x = 24.58

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