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Finding the Fourth Proportional to 68.82, 94.88 and 46.98

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Solution

The fourth proportional to 68.82, 94.88 and 46.98 is: 64.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.82 : 94.88 = 46.98 : x
  2. Step 2: Convert to fraction form
    68.82/94.88 = 46.98/x
  3. Step 3: Cross multiply
    68.82x = 94.88 × 46.98
  4. Step 4: Simplify right side
    68.82x = 4,457.46
  5. Step 5: Solve for x
    x = 4,457.46/68.82
  6. Step 6: Final answer
    x = 64.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.