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Finding the Fourth Proportional to 101.00, 150.95 and 92.50

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Solution

The fourth proportional to 101.00, 150.95 and 92.50 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.00 : 150.95 = 92.50 : x
  2. Step 2: Convert to fraction form
    101.00/150.95 = 92.50/x
  3. Step 3: Cross multiply
    101.00x = 150.95 × 92.50
  4. Step 4: Simplify right side
    101.00x = 13,962.73
  5. Step 5: Solve for x
    x = 13,962.73/101.00
  6. Step 6: Final answer
    x = 138.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.