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Finding the Fourth Proportional to 150.52, 207.70 and 85.02

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Solution

The fourth proportional to 150.52, 207.70 and 85.02 is: 117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.52 : 207.70 = 85.02 : x
  2. Step 2: Convert to fraction form
    150.52/207.70 = 85.02/x
  3. Step 3: Cross multiply
    150.52x = 207.70 × 85.02
  4. Step 4: Simplify right side
    150.52x = 17,658.65
  5. Step 5: Solve for x
    x = 17,658.65/150.52
  6. Step 6: Final answer
    x = 117.32

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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.