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Finding the Fourth Proportional to 70.07, 105.14 and 64.13

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Solution

The fourth proportional to 70.07, 105.14 and 64.13 is: 96.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.07 : 105.14 = 64.13 : x
  2. Step 2: Convert to fraction form
    70.07/105.14 = 64.13/x
  3. Step 3: Cross multiply
    70.07x = 105.14 × 64.13
  4. Step 4: Simplify right side
    70.07x = 6,742.26
  5. Step 5: Solve for x
    x = 6,742.26/70.07
  6. Step 6: Final answer
    x = 96.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.