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Finding the Fourth Proportional to 124.56, 172.08 and 100.08

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Solution

The fourth proportional to 124.56, 172.08 and 100.08 is: 138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.56 : 172.08 = 100.08 : x
  2. Step 2: Convert to fraction form
    124.56/172.08 = 100.08/x
  3. Step 3: Cross multiply
    124.56x = 172.08 × 100.08
  4. Step 4: Simplify right side
    124.56x = 17,221.77
  5. Step 5: Solve for x
    x = 17,221.77/124.56
  6. Step 6: Final answer
    x = 138.26

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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.