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Finding the Fourth Proportional to 102.16, 153.24 and 48.04

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Solution

The fourth proportional to 102.16, 153.24 and 48.04 is: 72.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 153.24 = 48.04 : x
  2. Step 2: Convert to fraction form
    102.16/153.24 = 48.04/x
  3. Step 3: Cross multiply
    102.16x = 153.24 × 48.04
  4. Step 4: Simplify right side
    102.16x = 7,361.65
  5. Step 5: Solve for x
    x = 7,361.65/102.16
  6. Step 6: Final answer
    x = 72.06

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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.