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Finding the Fourth Proportional to 46.55, 64.23 and 26.61

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Solution

The fourth proportional to 46.55, 64.23 and 26.61 is: 36.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.55 : 64.23 = 26.61 : x
  2. Step 2: Convert to fraction form
    46.55/64.23 = 26.61/x
  3. Step 3: Cross multiply
    46.55x = 64.23 × 26.61
  4. Step 4: Simplify right side
    46.55x = 1,708.93
  5. Step 5: Solve for x
    x = 1,708.93/46.55
  6. Step 6: Final answer
    x = 36.71

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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.