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Finding the Fourth Proportional to 145.64, 200.82 and 96.44

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Solution

The fourth proportional to 145.64, 200.82 and 96.44 is: 132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.64 : 200.82 = 96.44 : x
  2. Step 2: Convert to fraction form
    145.64/200.82 = 96.44/x
  3. Step 3: Cross multiply
    145.64x = 200.82 × 96.44
  4. Step 4: Simplify right side
    145.64x = 19,367.08
  5. Step 5: Solve for x
    x = 19,367.08/145.64
  6. Step 6: Final answer
    x = 132.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.