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Finding the Fourth Proportional to 46.16, 62.84 and 45.80

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Solution

The fourth proportional to 46.16, 62.84 and 45.80 is: 62.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.16 : 62.84 = 45.80 : x
  2. Step 2: Convert to fraction form
    46.16/62.84 = 45.80/x
  3. Step 3: Cross multiply
    46.16x = 62.84 × 45.80
  4. Step 4: Simplify right side
    46.16x = 2,878.07
  5. Step 5: Solve for x
    x = 2,878.07/46.16
  6. Step 6: Final answer
    x = 62.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.