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Finding the Fourth Proportional to 125.05, 172.54 and 78.42

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Solution

The fourth proportional to 125.05, 172.54 and 78.42 is: 108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.05 : 172.54 = 78.42 : x
  2. Step 2: Convert to fraction form
    125.05/172.54 = 78.42/x
  3. Step 3: Cross multiply
    125.05x = 172.54 × 78.42
  4. Step 4: Simplify right side
    125.05x = 13,530.59
  5. Step 5: Solve for x
    x = 13,530.59/125.05
  6. Step 6: Final answer
    x = 108.20

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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.