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Finding the Fourth Proportional to 64.42, 88.97 and 59.83

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Solution

The fourth proportional to 64.42, 88.97 and 59.83 is: 82.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.42 : 88.97 = 59.83 : x
  2. Step 2: Convert to fraction form
    64.42/88.97 = 59.83/x
  3. Step 3: Cross multiply
    64.42x = 88.97 × 59.83
  4. Step 4: Simplify right side
    64.42x = 5,322.55
  5. Step 5: Solve for x
    x = 5,322.55/64.42
  6. Step 6: Final answer
    x = 82.63

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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.