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Finding the Fourth Proportional to 107.37, 148.30 and 70.70

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Solution

The fourth proportional to 107.37, 148.30 and 70.70 is: 97.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.37 : 148.30 = 70.70 : x
  2. Step 2: Convert to fraction form
    107.37/148.30 = 70.70/x
  3. Step 3: Cross multiply
    107.37x = 148.30 × 70.70
  4. Step 4: Simplify right side
    107.37x = 10,483.89
  5. Step 5: Solve for x
    x = 10,483.89/107.37
  6. Step 6: Final answer
    x = 97.64

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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.