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Finding the Fourth Proportional to 64.07, 96.08 and 22.93

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Solution

The fourth proportional to 64.07, 96.08 and 22.93 is: 34.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.07 : 96.08 = 22.93 : x
  2. Step 2: Convert to fraction form
    64.07/96.08 = 22.93/x
  3. Step 3: Cross multiply
    64.07x = 96.08 × 22.93
  4. Step 4: Simplify right side
    64.07x = 2,203.07
  5. Step 5: Solve for x
    x = 2,203.07/64.07
  6. Step 6: Final answer
    x = 34.39

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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.