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Finding the Fourth Proportional to 145.76, 201.08 and 83.58

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Solution

The fourth proportional to 145.76, 201.08 and 83.58 is: 115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 201.08 = 83.58 : x
  2. Step 2: Convert to fraction form
    145.76/201.08 = 83.58/x
  3. Step 3: Cross multiply
    145.76x = 201.08 × 83.58
  4. Step 4: Simplify right side
    145.76x = 16,806.27
  5. Step 5: Solve for x
    x = 16,806.27/145.76
  6. Step 6: Final answer
    x = 115.30

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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.