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Finding the Fourth Proportional to 107.61, 147.59 and 106.08

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Solution

The fourth proportional to 107.61, 147.59 and 106.08 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.61 : 147.59 = 106.08 : x
  2. Step 2: Convert to fraction form
    107.61/147.59 = 106.08/x
  3. Step 3: Cross multiply
    107.61x = 147.59 × 106.08
  4. Step 4: Simplify right side
    107.61x = 15,655.82
  5. Step 5: Solve for x
    x = 15,655.82/107.61
  6. Step 6: Final answer
    x = 145.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.