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Finding the Fourth Proportional to 64.23, 95.77 and 59.64

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Solution

The fourth proportional to 64.23, 95.77 and 59.64 is: 88.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.23 : 95.77 = 59.64 : x
  2. Step 2: Convert to fraction form
    64.23/95.77 = 59.64/x
  3. Step 3: Cross multiply
    64.23x = 95.77 × 59.64
  4. Step 4: Simplify right side
    64.23x = 5,711.72
  5. Step 5: Solve for x
    x = 5,711.72/64.23
  6. Step 6: Final answer
    x = 88.93

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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.