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Finding the Fourth Proportional to 124.80, 172.04 and 102.93

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Solution

The fourth proportional to 124.80, 172.04 and 102.93 is: 141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.80 : 172.04 = 102.93 : x
  2. Step 2: Convert to fraction form
    124.80/172.04 = 102.93/x
  3. Step 3: Cross multiply
    124.80x = 172.04 × 102.93
  4. Step 4: Simplify right side
    124.80x = 17,707.56
  5. Step 5: Solve for x
    x = 17,707.56/124.80
  6. Step 6: Final answer
    x = 141.89

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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.