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Finding the Fourth Proportional to 134.07, 201.10 and 42.77

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Solution

The fourth proportional to 134.07, 201.10 and 42.77 is: 64.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.07 : 201.10 = 42.77 : x
  2. Step 2: Convert to fraction form
    134.07/201.10 = 42.77/x
  3. Step 3: Cross multiply
    134.07x = 201.10 × 42.77
  4. Step 4: Simplify right side
    134.07x = 8,601.05
  5. Step 5: Solve for x
    x = 8,601.05/134.07
  6. Step 6: Final answer
    x = 64.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.