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Finding the Fourth Proportional to 145.43, 200.57 and 90.06

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Solution

The fourth proportional to 145.43, 200.57 and 90.06 is: 124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.43 : 200.57 = 90.06 : x
  2. Step 2: Convert to fraction form
    145.43/200.57 = 90.06/x
  3. Step 3: Cross multiply
    145.43x = 200.57 × 90.06
  4. Step 4: Simplify right side
    145.43x = 18,062.88
  5. Step 5: Solve for x
    x = 18,062.88/145.43
  6. Step 6: Final answer
    x = 124.21

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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.