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Finding the Fourth Proportional to 62.40, 86.22 and 46.08

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Solution

The fourth proportional to 62.40, 86.22 and 46.08 is: 63.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.40 : 86.22 = 46.08 : x
  2. Step 2: Convert to fraction form
    62.40/86.22 = 46.08/x
  3. Step 3: Cross multiply
    62.40x = 86.22 × 46.08
  4. Step 4: Simplify right side
    62.40x = 3,973.02
  5. Step 5: Solve for x
    x = 3,973.02/62.40
  6. Step 6: Final answer
    x = 63.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.