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Finding the Fourth Proportional to 128.16, 192.24 and 59.65

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Solution

The fourth proportional to 128.16, 192.24 and 59.65 is: 89.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.16 : 192.24 = 59.65 : x
  2. Step 2: Convert to fraction form
    128.16/192.24 = 59.65/x
  3. Step 3: Cross multiply
    128.16x = 192.24 × 59.65
  4. Step 4: Simplify right side
    128.16x = 11,466.78
  5. Step 5: Solve for x
    x = 11,466.78/128.16
  6. Step 6: Final answer
    x = 89.47

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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.