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Finding the Fourth Proportional to 150.02, 207.02 and 84.52

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Solution

The fourth proportional to 150.02, 207.02 and 84.52 is: 116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.02 : 207.02 = 84.52 : x
  2. Step 2: Convert to fraction form
    150.02/207.02 = 84.52/x
  3. Step 3: Cross multiply
    150.02x = 207.02 × 84.52
  4. Step 4: Simplify right side
    150.02x = 17,496.64
  5. Step 5: Solve for x
    x = 17,496.64/150.02
  6. Step 6: Final answer
    x = 116.63

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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.