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Finding the Fourth Proportional to 124.77, 172.23 and 107.22

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Solution

The fourth proportional to 124.77, 172.23 and 107.22 is: 148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.77 : 172.23 = 107.22 : x
  2. Step 2: Convert to fraction form
    124.77/172.23 = 107.22/x
  3. Step 3: Cross multiply
    124.77x = 172.23 × 107.22
  4. Step 4: Simplify right side
    124.77x = 18,466.06
  5. Step 5: Solve for x
    x = 18,466.06/124.77
  6. Step 6: Final answer
    x = 148.00

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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.