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Finding the Fourth Proportional to 145.73, 201.26 and 127.51

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Solution

The fourth proportional to 145.73, 201.26 and 127.51 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.73 : 201.26 = 127.51 : x
  2. Step 2: Convert to fraction form
    145.73/201.26 = 127.51/x
  3. Step 3: Cross multiply
    145.73x = 201.26 × 127.51
  4. Step 4: Simplify right side
    145.73x = 25,662.66
  5. Step 5: Solve for x
    x = 25,662.66/145.73
  6. Step 6: Final answer
    x = 176.10

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Why These Related Problems?

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