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Finding the Fourth Proportional to 64.45, 88.81 and 46.93

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Solution

The fourth proportional to 64.45, 88.81 and 46.93 is: 64.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.45 : 88.81 = 46.93 : x
  2. Step 2: Convert to fraction form
    64.45/88.81 = 46.93/x
  3. Step 3: Cross multiply
    64.45x = 88.81 × 46.93
  4. Step 4: Simplify right side
    64.45x = 4,167.17
  5. Step 5: Solve for x
    x = 4,167.17/64.45
  6. Step 6: Final answer
    x = 64.66

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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.