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Finding the Fourth Proportional to 145.66, 200.94 and 90.38

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Solution

The fourth proportional to 145.66, 200.94 and 90.38 is: 124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.66 : 200.94 = 90.38 : x
  2. Step 2: Convert to fraction form
    145.66/200.94 = 90.38/x
  3. Step 3: Cross multiply
    145.66x = 200.94 × 90.38
  4. Step 4: Simplify right side
    145.66x = 18,160.96
  5. Step 5: Solve for x
    x = 18,160.96/145.66
  6. Step 6: Final answer
    x = 124.68

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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.