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Finding the Fourth Proportional to 107.40, 148.22 and 77.91

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Solution

The fourth proportional to 107.40, 148.22 and 77.91 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.40 : 148.22 = 77.91 : x
  2. Step 2: Convert to fraction form
    107.40/148.22 = 77.91/x
  3. Step 3: Cross multiply
    107.40x = 148.22 × 77.91
  4. Step 4: Simplify right side
    107.40x = 11,547.82
  5. Step 5: Solve for x
    x = 11,547.82/107.40
  6. Step 6: Final answer
    x = 107.52

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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.