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Finding the Fourth Proportional to 127.14, 174.93 and 123.57

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Solution

The fourth proportional to 127.14, 174.93 and 123.57 is: 170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.14 : 174.93 = 123.57 : x
  2. Step 2: Convert to fraction form
    127.14/174.93 = 123.57/x
  3. Step 3: Cross multiply
    127.14x = 174.93 × 123.57
  4. Step 4: Simplify right side
    127.14x = 21,616.10
  5. Step 5: Solve for x
    x = 21,616.10/127.14
  6. Step 6: Final answer
    x = 170.02

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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.