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Finding the Fourth Proportional to 101.99, 153 and 56.31

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Solution

The fourth proportional to 101.99, 153 and 56.31 is: 84.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.99 : 153 = 56.31 : x
  2. Step 2: Convert to fraction form
    101.99/153 = 56.31/x
  3. Step 3: Cross multiply
    101.99x = 153 × 56.31
  4. Step 4: Simplify right side
    101.99x = 8,615.43
  5. Step 5: Solve for x
    x = 8,615.43/101.99
  6. Step 6: Final answer
    x = 84.48

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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.