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Finding the Fourth Proportional to 55.65, 83.04 and 48.36

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Solution

The fourth proportional to 55.65, 83.04 and 48.36 is: 72.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.65 : 83.04 = 48.36 : x
  2. Step 2: Convert to fraction form
    55.65/83.04 = 48.36/x
  3. Step 3: Cross multiply
    55.65x = 83.04 × 48.36
  4. Step 4: Simplify right side
    55.65x = 4,015.81
  5. Step 5: Solve for x
    x = 4,015.81/55.65
  6. Step 6: Final answer
    x = 72.16

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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.