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Finding the Fourth Proportional to 177.89, 266.81 and 56.12

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Solution

The fourth proportional to 177.89, 266.81 and 56.12 is: 84.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.89 : 266.81 = 56.12 : x
  2. Step 2: Convert to fraction form
    177.89/266.81 = 56.12/x
  3. Step 3: Cross multiply
    177.89x = 266.81 × 56.12
  4. Step 4: Simplify right side
    177.89x = 14,971.76
  5. Step 5: Solve for x
    x = 14,971.76/177.89
  6. Step 6: Final answer
    x = 84.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.