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Finding the Fourth Proportional to 46.77, 64.48 and 35.07

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Solution

The fourth proportional to 46.77, 64.48 and 35.07 is: 48.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.77 : 64.48 = 35.07 : x
  2. Step 2: Convert to fraction form
    46.77/64.48 = 35.07/x
  3. Step 3: Cross multiply
    46.77x = 64.48 × 35.07
  4. Step 4: Simplify right side
    46.77x = 2,261.17
  5. Step 5: Solve for x
    x = 2,261.17/46.77
  6. Step 6: Final answer
    x = 48.34

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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.