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Finding the Fourth Proportional to 102.67, 153.71 and 56.90

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Solution

The fourth proportional to 102.67, 153.71 and 56.90 is: 85.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.67 : 153.71 = 56.90 : x
  2. Step 2: Convert to fraction form
    102.67/153.71 = 56.90/x
  3. Step 3: Cross multiply
    102.67x = 153.71 × 56.90
  4. Step 4: Simplify right side
    102.67x = 8,746.73
  5. Step 5: Solve for x
    x = 8,746.73/102.67
  6. Step 6: Final answer
    x = 85.19

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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.