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Finding the Fourth Proportional to 145.13, 200.34 and 89.92

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Solution

The fourth proportional to 145.13, 200.34 and 89.92 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 200.34 = 89.92 : x
  2. Step 2: Convert to fraction form
    145.13/200.34 = 89.92/x
  3. Step 3: Cross multiply
    145.13x = 200.34 × 89.92
  4. Step 4: Simplify right side
    145.13x = 18,014.57
  5. Step 5: Solve for x
    x = 18,014.57/145.13
  6. Step 6: Final answer
    x = 124.13

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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.