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Finding the Fourth Proportional to 375.89, 563.80 and 102.01

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Solution

The fourth proportional to 375.89, 563.80 and 102.01 is: 153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.89 : 563.80 = 102.01 : x
  2. Step 2: Convert to fraction form
    375.89/563.80 = 102.01/x
  3. Step 3: Cross multiply
    375.89x = 563.80 × 102.01
  4. Step 4: Simplify right side
    375.89x = 57,513.24
  5. Step 5: Solve for x
    x = 57,513.24/375.89
  6. Step 6: Final answer
    x = 153.01

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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.