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Finding the Fourth Proportional to 102.16, 153 and 73.52

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Solution

The fourth proportional to 102.16, 153 and 73.52 is: 110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 153 = 73.52 : x
  2. Step 2: Convert to fraction form
    102.16/153 = 73.52/x
  3. Step 3: Cross multiply
    102.16x = 153 × 73.52
  4. Step 4: Simplify right side
    102.16x = 11,248.56
  5. Step 5: Solve for x
    x = 11,248.56/102.16
  6. Step 6: Final answer
    x = 110.11

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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.