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Finding the Fourth Proportional to 124.94, 172.33 and 78.30

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Solution

The fourth proportional to 124.94, 172.33 and 78.30 is: 108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.94 : 172.33 = 78.30 : x
  2. Step 2: Convert to fraction form
    124.94/172.33 = 78.30/x
  3. Step 3: Cross multiply
    124.94x = 172.33 × 78.30
  4. Step 4: Simplify right side
    124.94x = 13,493.24
  5. Step 5: Solve for x
    x = 13,493.24/124.94
  6. Step 6: Final answer
    x = 108.00

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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.