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Finding the Fourth Proportional to 46.69, 70.05 and 29.56

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Solution

The fourth proportional to 46.69, 70.05 and 29.56 is: 44.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 70.05 = 29.56 : x
  2. Step 2: Convert to fraction form
    46.69/70.05 = 29.56/x
  3. Step 3: Cross multiply
    46.69x = 70.05 × 29.56
  4. Step 4: Simplify right side
    46.69x = 2,070.68
  5. Step 5: Solve for x
    x = 2,070.68/46.69
  6. Step 6: Final answer
    x = 44.35

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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.