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Finding the Fourth Proportional to 145.82, 201.27 and 123.95

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Solution

The fourth proportional to 145.82, 201.27 and 123.95 is: 171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.82 : 201.27 = 123.95 : x
  2. Step 2: Convert to fraction form
    145.82/201.27 = 123.95/x
  3. Step 3: Cross multiply
    145.82x = 201.27 × 123.95
  4. Step 4: Simplify right side
    145.82x = 24,946.41
  5. Step 5: Solve for x
    x = 24,946.41/145.82
  6. Step 6: Final answer
    x = 171.08

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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.