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Finding the Fourth Proportional to 368.14, 552.06 and 108.07

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Solution

The fourth proportional to 368.14, 552.06 and 108.07 is: 162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.14 : 552.06 = 108.07 : x
  2. Step 2: Convert to fraction form
    368.14/552.06 = 108.07/x
  3. Step 3: Cross multiply
    368.14x = 552.06 × 108.07
  4. Step 4: Simplify right side
    368.14x = 59,661.12
  5. Step 5: Solve for x
    x = 59,661.12/368.14
  6. Step 6: Final answer
    x = 162.06

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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.