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Finding the Fourth Proportional to 64.93, 96.83 and 59.68

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Solution

The fourth proportional to 64.93, 96.83 and 59.68 is: 89.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.93 : 96.83 = 59.68 : x
  2. Step 2: Convert to fraction form
    64.93/96.83 = 59.68/x
  3. Step 3: Cross multiply
    64.93x = 96.83 × 59.68
  4. Step 4: Simplify right side
    64.93x = 5,778.81
  5. Step 5: Solve for x
    x = 5,778.81/64.93
  6. Step 6: Final answer
    x = 89.00

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Why These Related Problems?

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