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Finding the Fourth Proportional to 61.47, 92.07 and 46.98

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Solution

The fourth proportional to 61.47, 92.07 and 46.98 is: 70.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.47 : 92.07 = 46.98 : x
  2. Step 2: Convert to fraction form
    61.47/92.07 = 46.98/x
  3. Step 3: Cross multiply
    61.47x = 92.07 × 46.98
  4. Step 4: Simplify right side
    61.47x = 4,325.45
  5. Step 5: Solve for x
    x = 4,325.45/61.47
  6. Step 6: Final answer
    x = 70.37

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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.