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Finding the Fourth Proportional to 75.16, 113.06 and 65.14

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Solution

The fourth proportional to 75.16, 113.06 and 65.14 is: 97.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.16 : 113.06 = 65.14 : x
  2. Step 2: Convert to fraction form
    75.16/113.06 = 65.14/x
  3. Step 3: Cross multiply
    75.16x = 113.06 × 65.14
  4. Step 4: Simplify right side
    75.16x = 7,364.61
  5. Step 5: Solve for x
    x = 7,364.61/75.16
  6. Step 6: Final answer
    x = 97.98

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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.