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Finding the Fourth Proportional to 127.08, 175.14 and 102.51

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Solution

The fourth proportional to 127.08, 175.14 and 102.51 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.08 : 175.14 = 102.51 : x
  2. Step 2: Convert to fraction form
    127.08/175.14 = 102.51/x
  3. Step 3: Cross multiply
    127.08x = 175.14 × 102.51
  4. Step 4: Simplify right side
    127.08x = 17,953.60
  5. Step 5: Solve for x
    x = 17,953.60/127.08
  6. Step 6: Final answer
    x = 141.28

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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.