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Finding the Fourth Proportional to 46.68, 64.49 and 46.35

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Solution

The fourth proportional to 46.68, 64.49 and 46.35 is: 64.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.68 : 64.49 = 46.35 : x
  2. Step 2: Convert to fraction form
    46.68/64.49 = 46.35/x
  3. Step 3: Cross multiply
    46.68x = 64.49 × 46.35
  4. Step 4: Simplify right side
    46.68x = 2,988.88
  5. Step 5: Solve for x
    x = 2,988.88/46.68
  6. Step 6: Final answer
    x = 64.04

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