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Finding the Fourth Proportional to 60.42, 83.50 and 46.64

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Solution

The fourth proportional to 60.42, 83.50 and 46.64 is: 64.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.42 : 83.50 = 46.64 : x
  2. Step 2: Convert to fraction form
    60.42/83.50 = 46.64/x
  3. Step 3: Cross multiply
    60.42x = 83.50 × 46.64
  4. Step 4: Simplify right side
    60.42x = 3,894.44
  5. Step 5: Solve for x
    x = 3,894.44/60.42
  6. Step 6: Final answer
    x = 64.46

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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.