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Finding the Fourth Proportional to 71.00, 106.50 and 48.16

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Solution

The fourth proportional to 71.00, 106.50 and 48.16 is: 72.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.00 : 106.50 = 48.16 : x
  2. Step 2: Convert to fraction form
    71.00/106.50 = 48.16/x
  3. Step 3: Cross multiply
    71.00x = 106.50 × 48.16
  4. Step 4: Simplify right side
    71.00x = 5,128.92
  5. Step 5: Solve for x
    x = 5,128.92/71.00
  6. Step 6: Final answer
    x = 72.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.