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Finding the Fourth Proportional to 74.40, 102.71 and 46.77

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Solution

The fourth proportional to 74.40, 102.71 and 46.77 is: 64.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.40 : 102.71 = 46.77 : x
  2. Step 2: Convert to fraction form
    74.40/102.71 = 46.77/x
  3. Step 3: Cross multiply
    74.40x = 102.71 × 46.77
  4. Step 4: Simplify right side
    74.40x = 4,803.51
  5. Step 5: Solve for x
    x = 4,803.51/74.40
  6. Step 6: Final answer
    x = 64.56

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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.