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Finding the Fourth Proportional to 96.76, 133.54 and 53.10

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Solution

The fourth proportional to 96.76, 133.54 and 53.10 is: 73.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.76 : 133.54 = 53.10 : x
  2. Step 2: Convert to fraction form
    96.76/133.54 = 53.10/x
  3. Step 3: Cross multiply
    96.76x = 133.54 × 53.10
  4. Step 4: Simplify right side
    96.76x = 7,090.71
  5. Step 5: Solve for x
    x = 7,090.71/96.76
  6. Step 6: Final answer
    x = 73.28

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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.