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Finding the Fourth Proportional to 46.64, 70.07 and 29.57

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Solution

The fourth proportional to 46.64, 70.07 and 29.57 is: 44.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.64 : 70.07 = 29.57 : x
  2. Step 2: Convert to fraction form
    46.64/70.07 = 29.57/x
  3. Step 3: Cross multiply
    46.64x = 70.07 × 29.57
  4. Step 4: Simplify right side
    46.64x = 2,071.47
  5. Step 5: Solve for x
    x = 2,071.47/46.64
  6. Step 6: Final answer
    x = 44.42

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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.