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Finding the Fourth Proportional to 101.70, 140.34 and 55.07

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Solution

The fourth proportional to 101.70, 140.34 and 55.07 is: 76.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.70 : 140.34 = 55.07 : x
  2. Step 2: Convert to fraction form
    101.70/140.34 = 55.07/x
  3. Step 3: Cross multiply
    101.70x = 140.34 × 55.07
  4. Step 4: Simplify right side
    101.70x = 7,728.81
  5. Step 5: Solve for x
    x = 7,728.81/101.70
  6. Step 6: Final answer
    x = 76.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.