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Finding the Fourth Proportional to 64.95, 96.83 and 59.69

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Solution

The fourth proportional to 64.95, 96.83 and 59.69 is: 88.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.95 : 96.83 = 59.69 : x
  2. Step 2: Convert to fraction form
    64.95/96.83 = 59.69/x
  3. Step 3: Cross multiply
    64.95x = 96.83 × 59.69
  4. Step 4: Simplify right side
    64.95x = 5,779.00
  5. Step 5: Solve for x
    x = 5,779.00/64.95
  6. Step 6: Final answer
    x = 88.98

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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.