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Finding the Fourth Proportional to 157.95, 218.09 and 127.10

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Solution

The fourth proportional to 157.95, 218.09 and 127.10 is: 175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.95 : 218.09 = 127.10 : x
  2. Step 2: Convert to fraction form
    157.95/218.09 = 127.10/x
  3. Step 3: Cross multiply
    157.95x = 218.09 × 127.10
  4. Step 4: Simplify right side
    157.95x = 27,720.10
  5. Step 5: Solve for x
    x = 27,720.10/157.95
  6. Step 6: Final answer
    x = 175.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.