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Finding the Fourth Proportional to 64.34, 96.54 and 31.42

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Solution

The fourth proportional to 64.34, 96.54 and 31.42 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.34 : 96.54 = 31.42 : x
  2. Step 2: Convert to fraction form
    64.34/96.54 = 31.42/x
  3. Step 3: Cross multiply
    64.34x = 96.54 × 31.42
  4. Step 4: Simplify right side
    64.34x = 3,033.40
  5. Step 5: Solve for x
    x = 3,033.40/64.34
  6. Step 6: Final answer
    x = 47.15

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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.