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Finding the Fourth Proportional to 145.68, 200.95 and 90.46

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Solution

The fourth proportional to 145.68, 200.95 and 90.46 is: 124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 200.95 = 90.46 : x
  2. Step 2: Convert to fraction form
    145.68/200.95 = 90.46/x
  3. Step 3: Cross multiply
    145.68x = 200.95 × 90.46
  4. Step 4: Simplify right side
    145.68x = 18,177.94
  5. Step 5: Solve for x
    x = 18,177.94/145.68
  6. Step 6: Final answer
    x = 124.78

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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.