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Finding the Fourth Proportional to 101.84, 152.70 and 63.38

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Solution

The fourth proportional to 101.84, 152.70 and 63.38 is: 95.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 152.70 = 63.38 : x
  2. Step 2: Convert to fraction form
    101.84/152.70 = 63.38/x
  3. Step 3: Cross multiply
    101.84x = 152.70 × 63.38
  4. Step 4: Simplify right side
    101.84x = 9,678.13
  5. Step 5: Solve for x
    x = 9,678.13/101.84
  6. Step 6: Final answer
    x = 95.03

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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.