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Finding the Fourth Proportional to 145.66, 200.94 and 96.52

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Solution

The fourth proportional to 145.66, 200.94 and 96.52 is: 133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.66 : 200.94 = 96.52 : x
  2. Step 2: Convert to fraction form
    145.66/200.94 = 96.52/x
  3. Step 3: Cross multiply
    145.66x = 200.94 × 96.52
  4. Step 4: Simplify right side
    145.66x = 19,394.73
  5. Step 5: Solve for x
    x = 19,394.73/145.66
  6. Step 6: Final answer
    x = 133.15

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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.