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Finding the Fourth Proportional to 102.17, 153.35 and 73.32

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Solution

The fourth proportional to 102.17, 153.35 and 73.32 is: 110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.17 : 153.35 = 73.32 : x
  2. Step 2: Convert to fraction form
    102.17/153.35 = 73.32/x
  3. Step 3: Cross multiply
    102.17x = 153.35 × 73.32
  4. Step 4: Simplify right side
    102.17x = 11,242.96
  5. Step 5: Solve for x
    x = 11,242.96/102.17
  6. Step 6: Final answer
    x = 110.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.