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Finding the Fourth Proportional to 145.78, 201.10 and 96.59

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Solution

The fourth proportional to 145.78, 201.10 and 96.59 is: 133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.78 : 201.10 = 96.59 : x
  2. Step 2: Convert to fraction form
    145.78/201.10 = 96.59/x
  3. Step 3: Cross multiply
    145.78x = 201.10 × 96.59
  4. Step 4: Simplify right side
    145.78x = 19,424.25
  5. Step 5: Solve for x
    x = 19,424.25/145.78
  6. Step 6: Final answer
    x = 133.24

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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.