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Finding the Fourth Proportional to 64.90, 96.71 and 64.37

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Solution

The fourth proportional to 64.90, 96.71 and 64.37 is: 95.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.90 : 96.71 = 64.37 : x
  2. Step 2: Convert to fraction form
    64.90/96.71 = 64.37/x
  3. Step 3: Cross multiply
    64.90x = 96.71 × 64.37
  4. Step 4: Simplify right side
    64.90x = 6,225.63
  5. Step 5: Solve for x
    x = 6,225.63/64.90
  6. Step 6: Final answer
    x = 95.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.