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Finding the Fourth Proportional to 124.54, 186.73 and 56.16

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Solution

The fourth proportional to 124.54, 186.73 and 56.16 is: 84.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.54 : 186.73 = 56.16 : x
  2. Step 2: Convert to fraction form
    124.54/186.73 = 56.16/x
  3. Step 3: Cross multiply
    124.54x = 186.73 × 56.16
  4. Step 4: Simplify right side
    124.54x = 10,485.99
  5. Step 5: Solve for x
    x = 10,485.99/124.54
  6. Step 6: Final answer
    x = 84.20

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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.