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Finding the Fourth Proportional to 150.65, 207.89 and 85.16

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Solution

The fourth proportional to 150.65, 207.89 and 85.16 is: 117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 207.89 = 85.16 : x
  2. Step 2: Convert to fraction form
    150.65/207.89 = 85.16/x
  3. Step 3: Cross multiply
    150.65x = 207.89 × 85.16
  4. Step 4: Simplify right side
    150.65x = 17,703.91
  5. Step 5: Solve for x
    x = 17,703.91/150.65
  6. Step 6: Final answer
    x = 117.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.