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Finding the Fourth Proportional to 64.26, 95.94 and 52.83

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Solution

The fourth proportional to 64.26, 95.94 and 52.83 is: 78.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.26 : 95.94 = 52.83 : x
  2. Step 2: Convert to fraction form
    64.26/95.94 = 52.83/x
  3. Step 3: Cross multiply
    64.26x = 95.94 × 52.83
  4. Step 4: Simplify right side
    64.26x = 5,068.51
  5. Step 5: Solve for x
    x = 5,068.51/64.26
  6. Step 6: Final answer
    x = 78.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.