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Finding the Fourth Proportional to 102.16, 153.28 and 41.33

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Solution

The fourth proportional to 102.16, 153.28 and 41.33 is: 62.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 153.28 = 41.33 : x
  2. Step 2: Convert to fraction form
    102.16/153.28 = 41.33/x
  3. Step 3: Cross multiply
    102.16x = 153.28 × 41.33
  4. Step 4: Simplify right side
    102.16x = 6,334.40
  5. Step 5: Solve for x
    x = 6,334.40/102.16
  6. Step 6: Final answer
    x = 62.00

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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.