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Finding the Fourth Proportional to 129.16, 193.75 and 42.51

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Solution

The fourth proportional to 129.16, 193.75 and 42.51 is: 63.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.16 : 193.75 = 42.51 : x
  2. Step 2: Convert to fraction form
    129.16/193.75 = 42.51/x
  3. Step 3: Cross multiply
    129.16x = 193.75 × 42.51
  4. Step 4: Simplify right side
    129.16x = 8,236.31
  5. Step 5: Solve for x
    x = 8,236.31/129.16
  6. Step 6: Final answer
    x = 63.77

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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.