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Finding the Fourth Proportional to 145.24, 200.40 and 86.92

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Solution

The fourth proportional to 145.24, 200.40 and 86.92 is: 119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.24 : 200.40 = 86.92 : x
  2. Step 2: Convert to fraction form
    145.24/200.40 = 86.92/x
  3. Step 3: Cross multiply
    145.24x = 200.40 × 86.92
  4. Step 4: Simplify right side
    145.24x = 17,418.77
  5. Step 5: Solve for x
    x = 17,418.77/145.24
  6. Step 6: Final answer
    x = 119.93

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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.