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Finding the Fourth Proportional to 124.93, 187.70 and 109.74

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Solution

The fourth proportional to 124.93, 187.70 and 109.74 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.93 : 187.70 = 109.74 : x
  2. Step 2: Convert to fraction form
    124.93/187.70 = 109.74/x
  3. Step 3: Cross multiply
    124.93x = 187.70 × 109.74
  4. Step 4: Simplify right side
    124.93x = 20,598.20
  5. Step 5: Solve for x
    x = 20,598.20/124.93
  6. Step 6: Final answer
    x = 164.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.