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Finding the Fourth Proportional to 145.76, 200.80 and 102.08

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Solution

The fourth proportional to 145.76, 200.80 and 102.08 is: 140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 200.80 = 102.08 : x
  2. Step 2: Convert to fraction form
    145.76/200.80 = 102.08/x
  3. Step 3: Cross multiply
    145.76x = 200.80 × 102.08
  4. Step 4: Simplify right side
    145.76x = 20,497.66
  5. Step 5: Solve for x
    x = 20,497.66/145.76
  6. Step 6: Final answer
    x = 140.63

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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.