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Finding the Fourth Proportional to 125.24, 172.64 and 101.96

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Solution

The fourth proportional to 125.24, 172.64 and 101.96 is: 140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.24 : 172.64 = 101.96 : x
  2. Step 2: Convert to fraction form
    125.24/172.64 = 101.96/x
  3. Step 3: Cross multiply
    125.24x = 172.64 × 101.96
  4. Step 4: Simplify right side
    125.24x = 17,602.37
  5. Step 5: Solve for x
    x = 17,602.37/125.24
  6. Step 6: Final answer
    x = 140.55

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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.