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Finding the Fourth Proportional to 102.65, 154.01 and 37.65

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Solution

The fourth proportional to 102.65, 154.01 and 37.65 is: 56.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.65 : 154.01 = 37.65 : x
  2. Step 2: Convert to fraction form
    102.65/154.01 = 37.65/x
  3. Step 3: Cross multiply
    102.65x = 154.01 × 37.65
  4. Step 4: Simplify right side
    102.65x = 5,798.48
  5. Step 5: Solve for x
    x = 5,798.48/102.65
  6. Step 6: Final answer
    x = 56.49

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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.