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Finding the Fourth Proportional to 71.48, 106.65 and 56.77

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Solution

The fourth proportional to 71.48, 106.65 and 56.77 is: 84.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.48 : 106.65 = 56.77 : x
  2. Step 2: Convert to fraction form
    71.48/106.65 = 56.77/x
  3. Step 3: Cross multiply
    71.48x = 106.65 × 56.77
  4. Step 4: Simplify right side
    71.48x = 6,054.25
  5. Step 5: Solve for x
    x = 6,054.25/71.48
  6. Step 6: Final answer
    x = 84.70

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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.