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Finding the Fourth Proportional to 145.85, 201.33 and 96.77

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Solution

The fourth proportional to 145.85, 201.33 and 96.77 is: 133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.85 : 201.33 = 96.77 : x
  2. Step 2: Convert to fraction form
    145.85/201.33 = 96.77/x
  3. Step 3: Cross multiply
    145.85x = 201.33 × 96.77
  4. Step 4: Simplify right side
    145.85x = 19,481.70
  5. Step 5: Solve for x
    x = 19,481.70/145.85
  6. Step 6: Final answer
    x = 133.58

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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.