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Finding the Fourth Proportional to 97.58, 133.88 and 95.02

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Solution

The fourth proportional to 97.58, 133.88 and 95.02 is: 130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.58 : 133.88 = 95.02 : x
  2. Step 2: Convert to fraction form
    97.58/133.88 = 95.02/x
  3. Step 3: Cross multiply
    97.58x = 133.88 × 95.02
  4. Step 4: Simplify right side
    97.58x = 12,720.47
  5. Step 5: Solve for x
    x = 12,720.47/97.58
  6. Step 6: Final answer
    x = 130.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.