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Finding the Fourth Proportional to 102.64, 153.78 and 78.22

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Solution

The fourth proportional to 102.64, 153.78 and 78.22 is: 117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.64 : 153.78 = 78.22 : x
  2. Step 2: Convert to fraction form
    102.64/153.78 = 78.22/x
  3. Step 3: Cross multiply
    102.64x = 153.78 × 78.22
  4. Step 4: Simplify right side
    102.64x = 12,028.67
  5. Step 5: Solve for x
    x = 12,028.67/102.64
  6. Step 6: Final answer
    x = 117.19

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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.