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Finding the Fourth Proportional to 64.03, 96.05 and 23.46

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Solution

The fourth proportional to 64.03, 96.05 and 23.46 is: 35.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.03 : 96.05 = 23.46 : x
  2. Step 2: Convert to fraction form
    64.03/96.05 = 23.46/x
  3. Step 3: Cross multiply
    64.03x = 96.05 × 23.46
  4. Step 4: Simplify right side
    64.03x = 2,253.33
  5. Step 5: Solve for x
    x = 2,253.33/64.03
  6. Step 6: Final answer
    x = 35.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.