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Finding the Fourth Proportional to 145.52, 200.80 and 80.02

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Solution

The fourth proportional to 145.52, 200.80 and 80.02 is: 110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.52 : 200.80 = 80.02 : x
  2. Step 2: Convert to fraction form
    145.52/200.80 = 80.02/x
  3. Step 3: Cross multiply
    145.52x = 200.80 × 80.02
  4. Step 4: Simplify right side
    145.52x = 16,068.02
  5. Step 5: Solve for x
    x = 16,068.02/145.52
  6. Step 6: Final answer
    x = 110.42

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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.