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Finding the Fourth Proportional to 65.07, 97.74 and 46.98

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Solution

The fourth proportional to 65.07, 97.74 and 46.98 is: 70.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.07 : 97.74 = 46.98 : x
  2. Step 2: Convert to fraction form
    65.07/97.74 = 46.98/x
  3. Step 3: Cross multiply
    65.07x = 97.74 × 46.98
  4. Step 4: Simplify right side
    65.07x = 4,591.83
  5. Step 5: Solve for x
    x = 4,591.83/65.07
  6. Step 6: Final answer
    x = 70.57

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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.