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Finding the Fourth Proportional to 71.42, 106.54 and 64.58

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Solution

The fourth proportional to 71.42, 106.54 and 64.58 is: 96.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.42 : 106.54 = 64.58 : x
  2. Step 2: Convert to fraction form
    71.42/106.54 = 64.58/x
  3. Step 3: Cross multiply
    71.42x = 106.54 × 64.58
  4. Step 4: Simplify right side
    71.42x = 6,880.35
  5. Step 5: Solve for x
    x = 6,880.35/71.42
  6. Step 6: Final answer
    x = 96.34

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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.