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Finding the Fourth Proportional to 64.17, 96.30 and 46.14

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Solution

The fourth proportional to 64.17, 96.30 and 46.14 is: 69.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.17 : 96.30 = 46.14 : x
  2. Step 2: Convert to fraction form
    64.17/96.30 = 46.14/x
  3. Step 3: Cross multiply
    64.17x = 96.30 × 46.14
  4. Step 4: Simplify right side
    64.17x = 4,443.28
  5. Step 5: Solve for x
    x = 4,443.28/64.17
  6. Step 6: Final answer
    x = 69.24

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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.