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Finding the Fourth Proportional to 145.76, 200.72 and 99.11

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Solution

The fourth proportional to 145.76, 200.72 and 99.11 is: 136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 200.72 = 99.11 : x
  2. Step 2: Convert to fraction form
    145.76/200.72 = 99.11/x
  3. Step 3: Cross multiply
    145.76x = 200.72 × 99.11
  4. Step 4: Simplify right side
    145.76x = 19,891.86
  5. Step 5: Solve for x
    x = 19,891.86/145.76
  6. Step 6: Final answer
    x = 136.47

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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.