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Finding the Fourth Proportional to 125.10, 172.59 and 77.82

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Solution

The fourth proportional to 125.10, 172.59 and 77.82 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.10 : 172.59 = 77.82 : x
  2. Step 2: Convert to fraction form
    125.10/172.59 = 77.82/x
  3. Step 3: Cross multiply
    125.10x = 172.59 × 77.82
  4. Step 4: Simplify right side
    125.10x = 13,430.95
  5. Step 5: Solve for x
    x = 13,430.95/125.10
  6. Step 6: Final answer
    x = 107.36

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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.