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Finding the Fourth Proportional to 125.04, 172.62 and 78.42

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Solution

The fourth proportional to 125.04, 172.62 and 78.42 is: 108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.04 : 172.62 = 78.42 : x
  2. Step 2: Convert to fraction form
    125.04/172.62 = 78.42/x
  3. Step 3: Cross multiply
    125.04x = 172.62 × 78.42
  4. Step 4: Simplify right side
    125.04x = 13,538.02
  5. Step 5: Solve for x
    x = 13,538.02/125.04
  6. Step 6: Final answer
    x = 108.27

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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.