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Finding the Fourth Proportional to 64.06, 88.14 and 56.77

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Solution

The fourth proportional to 64.06, 88.14 and 56.77 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.06 : 88.14 = 56.77 : x
  2. Step 2: Convert to fraction form
    64.06/88.14 = 56.77/x
  3. Step 3: Cross multiply
    64.06x = 88.14 × 56.77
  4. Step 4: Simplify right side
    64.06x = 5,003.71
  5. Step 5: Solve for x
    x = 5,003.71/64.06
  6. Step 6: Final answer
    x = 78.11

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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.