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Finding the Fourth Proportional to 145.92, 201.32 and 102.24

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Solution

The fourth proportional to 145.92, 201.32 and 102.24 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.92 : 201.32 = 102.24 : x
  2. Step 2: Convert to fraction form
    145.92/201.32 = 102.24/x
  3. Step 3: Cross multiply
    145.92x = 201.32 × 102.24
  4. Step 4: Simplify right side
    145.92x = 20,582.96
  5. Step 5: Solve for x
    x = 20,582.96/145.92
  6. Step 6: Final answer
    x = 141.06

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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.