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Finding the Fourth Proportional to 64, 88.34 and 41

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Solution

The fourth proportional to 64, 88.34 and 41 is: 56.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 88.34 = 41 : x
  2. Step 2: Convert to fraction form
    64/88.34 = 41/x
  3. Step 3: Cross multiply
    64x = 88.34 × 41
  4. Step 4: Simplify right side
    64x = 3,621.94
  5. Step 5: Solve for x
    x = 3,621.94/64
  6. Step 6: Final answer
    x = 56.59

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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.