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Finding the Fourth Proportional to 107.68, 148.61 and 61.07

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Solution

The fourth proportional to 107.68, 148.61 and 61.07 is: 84.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.68 : 148.61 = 61.07 : x
  2. Step 2: Convert to fraction form
    107.68/148.61 = 61.07/x
  3. Step 3: Cross multiply
    107.68x = 148.61 × 61.07
  4. Step 4: Simplify right side
    107.68x = 9,075.61
  5. Step 5: Solve for x
    x = 9,075.61/107.68
  6. Step 6: Final answer
    x = 84.28

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Why These Related Problems?

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