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Finding the Fourth Proportional to 145.56, 200.80 and 96.42

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Solution

The fourth proportional to 145.56, 200.80 and 96.42 is: 133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.56 : 200.80 = 96.42 : x
  2. Step 2: Convert to fraction form
    145.56/200.80 = 96.42/x
  3. Step 3: Cross multiply
    145.56x = 200.80 × 96.42
  4. Step 4: Simplify right side
    145.56x = 19,361.14
  5. Step 5: Solve for x
    x = 19,361.14/145.56
  6. Step 6: Final answer
    x = 133.01

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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.