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Finding the Fourth Proportional to 127.46, 190.36 and 101.82

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Solution

The fourth proportional to 127.46, 190.36 and 101.82 is: 152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.46 : 190.36 = 101.82 : x
  2. Step 2: Convert to fraction form
    127.46/190.36 = 101.82/x
  3. Step 3: Cross multiply
    127.46x = 190.36 × 101.82
  4. Step 4: Simplify right side
    127.46x = 19,382.46
  5. Step 5: Solve for x
    x = 19,382.46/127.46
  6. Step 6: Final answer
    x = 152.07

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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.