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Finding the Fourth Proportional to 127.10, 190.45 and 66.14

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Solution

The fourth proportional to 127.10, 190.45 and 66.14 is: 99.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.10 : 190.45 = 66.14 : x
  2. Step 2: Convert to fraction form
    127.10/190.45 = 66.14/x
  3. Step 3: Cross multiply
    127.10x = 190.45 × 66.14
  4. Step 4: Simplify right side
    127.10x = 12,596.36
  5. Step 5: Solve for x
    x = 12,596.36/127.10
  6. Step 6: Final answer
    x = 99.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.