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Finding the Fourth Proportional to 70.66, 97.56 and 53.14

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Solution

The fourth proportional to 70.66, 97.56 and 53.14 is: 73.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.66 : 97.56 = 53.14 : x
  2. Step 2: Convert to fraction form
    70.66/97.56 = 53.14/x
  3. Step 3: Cross multiply
    70.66x = 97.56 × 53.14
  4. Step 4: Simplify right side
    70.66x = 5,184.34
  5. Step 5: Solve for x
    x = 5,184.34/70.66
  6. Step 6: Final answer
    x = 73.37

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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.