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Finding the Fourth Proportional to 82.70, 114.08 and 53.16

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Solution

The fourth proportional to 82.70, 114.08 and 53.16 is: 73.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.70 : 114.08 = 53.16 : x
  2. Step 2: Convert to fraction form
    82.70/114.08 = 53.16/x
  3. Step 3: Cross multiply
    82.70x = 114.08 × 53.16
  4. Step 4: Simplify right side
    82.70x = 6,064.23
  5. Step 5: Solve for x
    x = 6,064.23/82.70
  6. Step 6: Final answer
    x = 73.33

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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.