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Finding the Fourth Proportional to 145.97, 201.53 and 96.89

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Solution

The fourth proportional to 145.97, 201.53 and 96.89 is: 133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 201.53 = 96.89 : x
  2. Step 2: Convert to fraction form
    145.97/201.53 = 96.89/x
  3. Step 3: Cross multiply
    145.97x = 201.53 × 96.89
  4. Step 4: Simplify right side
    145.97x = 19,525.76
  5. Step 5: Solve for x
    x = 19,525.76/145.97
  6. Step 6: Final answer
    x = 133.77

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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.