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Finding the Fourth Proportional to 125.03, 172.53 and 69.77

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Solution

The fourth proportional to 125.03, 172.53 and 69.77 is: 96.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.03 : 172.53 = 69.77 : x
  2. Step 2: Convert to fraction form
    125.03/172.53 = 69.77/x
  3. Step 3: Cross multiply
    125.03x = 172.53 × 69.77
  4. Step 4: Simplify right side
    125.03x = 12,037.66
  5. Step 5: Solve for x
    x = 12,037.66/125.03
  6. Step 6: Final answer
    x = 96.28

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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.