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Finding the Fourth Proportional to 102.86, 154.34 and 45.06

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Solution

The fourth proportional to 102.86, 154.34 and 45.06 is: 67.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.86 : 154.34 = 45.06 : x
  2. Step 2: Convert to fraction form
    102.86/154.34 = 45.06/x
  3. Step 3: Cross multiply
    102.86x = 154.34 × 45.06
  4. Step 4: Simplify right side
    102.86x = 6,953.93
  5. Step 5: Solve for x
    x = 6,953.93/102.86
  6. Step 6: Final answer
    x = 67.60

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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.