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Finding the Fourth Proportional to 127.52, 175.95 and 101.50

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Solution

The fourth proportional to 127.52, 175.95 and 101.50 is: 140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.52 : 175.95 = 101.50 : x
  2. Step 2: Convert to fraction form
    127.52/175.95 = 101.50/x
  3. Step 3: Cross multiply
    127.52x = 175.95 × 101.50
  4. Step 4: Simplify right side
    127.52x = 17,858.49
  5. Step 5: Solve for x
    x = 17,858.49/127.52
  6. Step 6: Final answer
    x = 140.05

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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.