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Finding the Fourth Proportional to 145.86, 201.32 and 87.63

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Solution

The fourth proportional to 145.86, 201.32 and 87.63 is: 120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 201.32 = 87.63 : x
  2. Step 2: Convert to fraction form
    145.86/201.32 = 87.63/x
  3. Step 3: Cross multiply
    145.86x = 201.32 × 87.63
  4. Step 4: Simplify right side
    145.86x = 17,640.23
  5. Step 5: Solve for x
    x = 17,640.23/145.86
  6. Step 6: Final answer
    x = 120.94

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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.