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Finding the Fourth Proportional to 150.08, 225.04 and 64.48

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Solution

The fourth proportional to 150.08, 225.04 and 64.48 is: 96.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 225.04 = 64.48 : x
  2. Step 2: Convert to fraction form
    150.08/225.04 = 64.48/x
  3. Step 3: Cross multiply
    150.08x = 225.04 × 64.48
  4. Step 4: Simplify right side
    150.08x = 14,510.58
  5. Step 5: Solve for x
    x = 14,510.58/150.08
  6. Step 6: Final answer
    x = 96.69

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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.