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Finding the Fourth Proportional to 125, 172.56 and 117.80

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Solution

The fourth proportional to 125, 172.56 and 117.80 is: 162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125 : 172.56 = 117.80 : x
  2. Step 2: Convert to fraction form
    125/172.56 = 117.80/x
  3. Step 3: Cross multiply
    125x = 172.56 × 117.80
  4. Step 4: Simplify right side
    125x = 20,327.57
  5. Step 5: Solve for x
    x = 20,327.57/125
  6. Step 6: Final answer
    x = 162.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.