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Finding the Fourth Proportional to 46.61, 70.01 and 35.83

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Solution

The fourth proportional to 46.61, 70.01 and 35.83 is: 53.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.61 : 70.01 = 35.83 : x
  2. Step 2: Convert to fraction form
    46.61/70.01 = 35.83/x
  3. Step 3: Cross multiply
    46.61x = 70.01 × 35.83
  4. Step 4: Simplify right side
    46.61x = 2,508.04
  5. Step 5: Solve for x
    x = 2,508.04/46.61
  6. Step 6: Final answer
    x = 53.81

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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.