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Finding the Fourth Proportional to 127.10, 190.67 and 46.05

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Solution

The fourth proportional to 127.10, 190.67 and 46.05 is: 69.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.10 : 190.67 = 46.05 : x
  2. Step 2: Convert to fraction form
    127.10/190.67 = 46.05/x
  3. Step 3: Cross multiply
    127.10x = 190.67 × 46.05
  4. Step 4: Simplify right side
    127.10x = 8,780.12
  5. Step 5: Solve for x
    x = 8,780.12/127.10
  6. Step 6: Final answer
    x = 69.08

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