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Finding the Fourth Proportional to 107.24, 148.02 and 65.24

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Solution

The fourth proportional to 107.24, 148.02 and 65.24 is: 90.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.24 : 148.02 = 65.24 : x
  2. Step 2: Convert to fraction form
    107.24/148.02 = 65.24/x
  3. Step 3: Cross multiply
    107.24x = 148.02 × 65.24
  4. Step 4: Simplify right side
    107.24x = 9,656.40
  5. Step 5: Solve for x
    x = 9,656.40/107.24
  6. Step 6: Final answer
    x = 90.05

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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.