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Finding the Fourth Proportional to 64.16, 96.24 and 16.06

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Solution

The fourth proportional to 64.16, 96.24 and 16.06 is: 24.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.16 : 96.24 = 16.06 : x
  2. Step 2: Convert to fraction form
    64.16/96.24 = 16.06/x
  3. Step 3: Cross multiply
    64.16x = 96.24 × 16.06
  4. Step 4: Simplify right side
    64.16x = 1,545.81
  5. Step 5: Solve for x
    x = 1,545.81/64.16
  6. Step 6: Final answer
    x = 24.09

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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.